The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
0 2X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2X 2X 2X 2X 2X 2X 2X 0 0 2X 2X 0 2X 0 2X 0 2X 2X 0 2X 2X 2X 2X 0 2X 0 2X 2X 0 2X 0 2X 0 0 2X 0 2X 2X 2X 2X 0 2X 2X 2X 0 0 0 0 0 2X 0 2X 0 2X 2X 2X 0 0 2X 2X 2X 2X 0 0 2X 2X 2X 2X 2X 2X 2X 0 2X
0 0 2X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2X 2X 2X 0 2X 2X 2X 0 2X 0 0 2X 2X 0 2X 2X 0 0 2X 0 2X 2X 0 2X 0 2X 0 2X 2X 0 0 2X 0 2X 0 0 2X 0 2X 0 2X 2X 0 2X 2X 0 0 2X 0 2X 0 2X 2X 0 2X 2X 2X 2X 0 2X 2X 2X 0 2X 0 2X 2X 0 2X 2X 0 2X 2X 0 0 2X
0 0 0 2X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2X 2X 2X 0 0 0 0 2X 2X 2X 0 2X 0 2X 0 2X 0 0 2X 2X 0 2X 2X 0 2X 2X 0 0 2X 2X 2X 0 0 2X 2X 2X 2X 0 2X 2X 2X 2X 2X 2X 0 2X 2X 0 2X 0 2X 2X 0 2X 0 2X 2X 2X 2X 0 0 2X 2X 0 0 0 0 2X 2X 0 2X 0 0 0 0 2X 0 2X 0
0 0 0 0 2X 0 0 0 0 0 0 0 2X 2X 2X 2X 2X 2X 2X 2X 2X 0 2X 2X 0 2X 2X 0 2X 2X 0 0 2X 2X 2X 2X 2X 2X 2X 2X 0 0 2X 2X 2X 2X 0 2X 2X 2X 2X 0 0 0 2X 2X 2X 2X 2X 2X 0 0 2X 2X 0 0 2X 2X 2X 2X 2X 0 2X 0 2X 0 0 0 2X 2X 0 2X 0 0 0 0 2X 2X 0 0 0 2X 0 0 0 0 0 2X
0 0 0 0 0 2X 0 0 0 2X 2X 2X 2X 2X 0 2X 2X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2X 2X 0 2X 2X 0 2X 0 2X 2X 0 2X 2X 2X 0 2X 0 2X 2X 0 2X 0 2X 0 2X 0 2X 2X 0 2X 0 2X 0 0 0 2X 2X 2X 2X 2X 2X 2X 2X 0 0 2X 0 0 2X 0 2X 0 2X 0 0 2X 2X 0 2X 0 0 2X 2X 0 2X
0 0 0 0 0 0 2X 0 2X 2X 2X 0 0 0 0 2X 2X 2X 2X 0 0 0 0 0 0 0 0 0 0 0 0 0 2X 2X 0 2X 0 2X 2X 2X 0 0 0 2X 2X 0 2X 2X 2X 2X 2X 2X 2X 2X 0 0 2X 2X 2X 2X 2X 2X 2X 2X 0 0 2X 0 2X 0 0 2X 0 2X 0 0 2X 2X 2X 2X 0 2X 2X 0 2X 2X 2X 0 0 2X 2X 0 2X 0 0 0 2X 2X
0 0 0 0 0 0 0 2X 2X 0 2X 2X 0 2X 2X 2X 0 0 2X 0 2X 2X 0 2X 2X 0 0 0 2X 2X 2X 2X 2X 0 2X 2X 2X 0 0 0 0 2X 0 0 2X 2X 0 0 0 2X 2X 2X 0 2X 2X 2X 0 2X 2X 0 0 2X 2X 0 0 2X 2X 0 2X 0 2X 2X 0 0 0 0 0 2X 2X 0 0 2X 2X 2X 2X 0 0 0 2X 2X 2X 0 0 2X 2X 2X 0 0
generates a code of length 98 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 92.
Homogenous weight enumerator: w(x)=1x^0+73x^92+32x^94+69x^96+1728x^98+48x^100+32x^102+48x^104+6x^108+10x^112+1x^188
The gray image is a code over GF(2) with n=784, k=11 and d=368.
This code was found by Heurico 1.16 in 11.5 seconds.