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

generates a code of length 95 over Z2[X]/(X^4) who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+37x^88+42x^90+252x^92+80x^94+1024x^95+465x^96+36x^98+49x^100+32x^102+25x^104+2x^106+2x^108+1x^180

The gray image is a linear code over GF(2) with n=760, k=11 and d=352.
This code was found by Heurico 1.16 in 1.23 seconds.