The generator matrix

 1  0  0  1  1  1  X X^3+X  1  1  1 X^3+X^2+X  1 X^3  1  0 X^3+X  1  1  1 X^2  1  X X^3+X  1  1 X^3+X^2  X  1 X^3+X^2+X  1  1  1  1  X X^3+X X^3+X^2+X  1  1  1  X  1 X^3  1  1 X^3+X^2  1 X^2+X  1  1  X X^3+X^2  1  1  1  1  1  1  1  1  1  1 X^3+X X^3+X^2+X X^2  1  1 X^3+X^2+X  0  0  1  1  1  X X^3+X  1  1 X^3+X^2  1  1 X^2+X  1  0  1  1  1  1  1  1  1 X^3+X^2 X^3+X^2+X X^3+X^2  1  1
 0  1  0  0 X^2+1 X+1  1 X^3 X^3  0 X^3+1  1 X+1  1  X  1 X^3 X^3+X^2+X+1 X^2+X+1 X^3  1 X^3  1  1 X^3+X^2+1  X X^3+X^2  1 X^3+X^2+X+1  1 X^2+X X^3+1 X^3+X+1 X^2 X^2+X  X  1  1 X^2  0  1  1 X^3+X X^3+1 X^2+X+1  1  X  1 X^3+1 X^3+X^2  1  1 X^3+X+1  X X^2 X^3+X^2 X^3+X^2+X+1 X^3+X^2+X  X X^3+X^2+X X^3+X X^2+1  1  X  1 X^3+X^2 X+1 X^3 X^2  1 X^3+X  1  X  1  1 X^3+X^2  1  1 X^3+X^2+X+1 X^3+X  1 X^2+X  1 X^3+X^2+1 X+1 X^3+X+1  1 X^3+1  X X^3  1 X^2+X  1 X^2 X^3
 0  0  1  1  1  0 X^2+1  1 X^2+X X^3+X+1  0 X^3 X^2+X+1 X^2+1  X X^2+1  1 X^2+X X^3+1 X^3+1 X^3 X^3+X^2 X^3+X+1 X^3+X^2 X+1 X^2+1  1 X^2+X+1 X^3+X^2+X  X  X X^2+1 X^2 X+1  1  1 X^3+X^2+X X^3+X^2+X+1 X+1 X^2+X X^3+1 X^3+X^2  1 X^2  1 X^2+X+1 X^3+X X^3+1 X^3+X  0 X^2+X X^2+X X^2+X+1 X^2+1 X^3  X X^3+X^2+1 X^2+X+1 X^2 X^3+X+1  0 X^3+X^2+X X^2+X  1 X+1 X^2+X+1 X^2  1  1  0 X^3+1 X^3+X+1 X^2+1  X X^2 X^3+X^2+1 X^3+X^2 X^3+X X^2+X+1 X^3 X^2+X+1 X^2 X^3+X^2+X X^3+X+1 X^3+X^2+X X^3+X^2+X+1  X X^3+X^2+X X^3 X^2+X+1 X^2+X+1  1 X^2+1 X^3+1 X^2
 0  0  0  X X^3+X X^3 X^3+X X^3+X X^3+X^2 X^2 X^3+X^2+X X^2+X X^2 X^2 X^3 X^3+X^2+X X^3 X^3+X X^2+X X^2  X X^3+X^2+X X^2  0 X^3+X^2  X  X  X X^2  0  X  0  X X^3+X^2+X X^3+X X^3+X^2  X  X  0 X^2+X  0 X^3+X X^3+X^2+X X^3  0  0 X^2 X^3+X^2+X X^3+X^2  X X^3 X^3 X^3 X^3+X^2+X X^3+X^2  X  X X^3+X^2  0  X X^3+X  0 X^3+X X^3+X^2+X X^2 X^3+X X^3+X^2 X^3+X^2+X X^2 X^2 X^2 X^3 X^3 X^2+X X^3+X^2 X^2+X X^3+X^2 X^2+X X^3 X^2+X  0  X X^3+X^2 X^3+X^2+X X^3 X^2+X X^2+X X^3+X X^3+X^2 X^3+X^2 X^3+X^2+X X^3 X^3+X^2+X  X  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+274x^88+894x^89+1779x^90+2418x^91+2769x^92+3456x^93+3564x^94+3664x^95+3379x^96+3222x^97+2312x^98+1718x^99+1338x^100+876x^101+466x^102+312x^103+164x^104+56x^105+42x^106+12x^107+22x^108+8x^109+12x^110+4x^111+4x^112+1x^114+1x^116

The gray image is a linear code over GF(2) with n=760, k=15 and d=352.
This code was found by Heurico 1.16 in 23 seconds.