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  X  1  1  1  1  1  1  1  1  1  1  1  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  1  1  1  1  1  1  1  1 X^2  1  X  1 X^2
 0 X^3+X^2  0  0  0 X^2 X^3+X^2 X^2  0  0  0  0 X^2 X^3+X^2 X^2 X^3+X^2  0  0 X^2 X^2  0  0 X^3+X^2 X^3+X^2  0 X^3 X^3+X^2 X^3+X^2 X^3 X^3+X^2 X^3 X^2  0 X^3 X^3 X^2 X^3  0 X^3+X^2 X^2 X^2 X^2 X^3+X^2  0  0 X^3+X^2  0 X^2 X^3  0 X^2 X^2 X^3+X^2 X^3+X^2  0 X^3  0 X^3 X^3+X^2 X^2 X^3+X^2 X^2 X^3 X^3 X^3  0 X^3 X^3+X^2 X^3 X^2 X^3 X^3+X^2 X^3 X^3  0  0 X^2 X^2 X^3+X^2 X^3+X^2 X^3+X^2 X^2 X^3+X^2 X^2 X^3 X^3  0 X^3  0 X^3 X^2 X^2 X^3+X^2
 0  0 X^3+X^2  0 X^2 X^2 X^3+X^2  0 X^2  0  0 X^3+X^2 X^2 X^3+X^2  0  0  0 X^2 X^2  0  0 X^3+X^2 X^3+X^2  0 X^3  0 X^3+X^2 X^3 X^2  0 X^2 X^2 X^3 X^3+X^2 X^2 X^3+X^2 X^3 X^2 X^3 X^3+X^2  0 X^3 X^2 X^3 X^3+X^2  0 X^3 X^3+X^2 X^3+X^2 X^2 X^3 X^3 X^2 X^3 X^3+X^2 X^2 X^3  0 X^3+X^2 X^3 X^2  0 X^2 X^3  0 X^3+X^2 X^2 X^2 X^3  0 X^3+X^2 X^3+X^2 X^3+X^2 X^2 X^2 X^3 X^3 X^3 X^3+X^2 X^3 X^2 X^2 X^3 X^3+X^2 X^3 X^3+X^2 X^2 X^3+X^2  0  0  0 X^3 X^3+X^2
 0  0  0 X^3+X^2 X^2  0 X^3+X^2 X^2 X^2  0 X^3+X^2  0  0 X^3+X^2 X^2  0 X^3 X^3+X^2 X^3 X^3+X^2 X^2 X^3 X^2 X^3 X^3 X^2  0 X^3  0 X^3+X^2 X^3+X^2 X^2  0 X^3+X^2  0 X^2 X^2 X^3 X^3+X^2  0 X^3 X^3+X^2 X^3+X^2 X^2 X^2 X^3 X^3  0  0  0 X^2 X^3 X^3+X^2 X^3 X^3 X^2 X^3+X^2 X^2  0 X^2 X^2 X^3 X^3 X^3  0 X^2  0  0 X^2  0 X^2 X^3 X^3 X^2 X^3  0  0 X^3 X^2 X^3+X^2 X^3 X^3 X^2 X^3+X^2 X^3+X^2  0  0 X^3 X^3+X^2 X^3+X^2 X^3+X^2  0 X^2
 0  0  0  0 X^3  0  0  0  0 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 X^3 X^3 X^3 X^3  0 X^3 X^3  0 X^3  0  0  0 X^3  0 X^3  0 X^3 X^3 X^3 X^3 X^3  0 X^3  0  0 X^3 X^3 X^3  0 X^3 X^3  0  0 X^3 X^3 X^3 X^3  0 X^3  0  0 X^3  0  0 X^3  0 X^3 X^3  0 X^3  0  0

generates a code of length 93 over Z2[X]/(X^4) who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+96x^88+112x^90+112x^91+470x^92+544x^93+434x^94+112x^95+68x^96+44x^98+30x^100+18x^102+6x^104+1x^176

The gray image is a linear code over GF(2) with n=744, k=11 and d=352.
This code was found by Heurico 1.16 in 1.11 seconds.