The generator matrix

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

generates a code of length 95 over Z2[X]/(X^4) who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+79x^86+908x^87+2375x^88+3572x^89+6232x^90+7814x^91+11013x^92+12386x^93+14527x^94+13870x^95+15060x^96+11704x^97+11145x^98+7538x^99+5648x^100+3474x^101+1870x^102+950x^103+503x^104+162x^105+123x^106+56x^107+19x^108+28x^109+8x^110+5x^112+2x^113

The gray image is a linear code over GF(2) with n=760, k=17 and d=344.
This code was found by Heurico 1.16 in 231 seconds.