The generator matrix

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

generates a code of length 95 over Z2[X]/(X^4) who´s minimum homogenous weight is 89.

Homogenous weight enumerator: w(x)=1x^0+226x^89+791x^90+1432x^91+1746x^92+1920x^93+1890x^94+1760x^95+1583x^96+1450x^97+1037x^98+898x^99+547x^100+426x^101+334x^102+136x^103+78x^104+48x^105+35x^106+14x^107+11x^108+10x^109+8x^110+1x^112+1x^114+1x^120

The gray image is a linear code over GF(2) with n=760, k=14 and d=356.
This code was found by Heurico 1.16 in 12.7 seconds.