The generator matrix

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

generates a code of length 95 over Z2[X]/(X^4) who´s minimum homogenous weight is 90.

Homogenous weight enumerator: w(x)=1x^0+91x^90+512x^91+395x^92+624x^93+328x^94+414x^95+315x^96+540x^97+233x^98+346x^99+146x^100+106x^101+12x^102+6x^103+4x^104+8x^105+5x^106+2x^107+2x^110+2x^117+2x^120+1x^122+1x^132

The gray image is a linear code over GF(2) with n=760, k=12 and d=360.
This code was found by Heurico 1.16 in 1.34 seconds.