The generator matrix

 1  0  0  1  1  1  0 X^3  1  1 X^3 X^2  1  1  1  1  1  1 X^3+X^2+X X^3+X  X X^3+X^2+X X^3+X X^3+X  1  1  1  1  1 X^3+X^2+X X^3+X  1 X^3  0  1  1 X^2+X  1 X^3+X^2  1  1  1  X  X X^3+X^2+X  1  1  1 X^3+X^2  1  1  1  1  1 X^2  1  1 X^2  1  1 X^3+X X^3  1  1  1 X^3+X^2  1 X^2  1  1  0 X^2+X X^2 X^3+X^2+X  1  1  1  1 X^3  1  1 X^2+X  0  X X^3+X^2+X  1  0 X^3+X^2+X  0  1  1 X^3+X^2  0  1  1
 0  1  0  0 X^2+1 X^2+1  1 X^3+X^2+X X^3 X^3+X^2+1  1  1 X^3+X^2 X^3+X^2+1 X^2+X+1 X^3+X^2+X X^2+X X^3+X^2+X+1 X^2  1  1  1  1 X^3+X^2+X X+1 X^3+X X^2+X  1 X^3+1  1  X X^2+X+1  1 X^3+X X^2+X+1  X  1 X^3+X+1  1 X^2 X^3 X^2+X X^3  1  1  1 X^3+X^2+X  0  1 X^3+X^2 X^2+1 X^3+X+1  X X+1  1 X^3+X^2  X  1 X^3+X^2+X  1  1  1 X^3+X^2+1 X^3+X+1 X^3+X+1  1 X^2  1 X^2 X^3  0  1  X  1 X^2+X+1 X^2 X+1  0  1 X^3+X  X  1 X^3+X  1  1 X^3+X^2+X+1  1  1  1 X^3+X^2+X+1 X^3+X^2 X^3+X^2+X  1 X^3+X^2+1 X^2
 0  0  1 X+1 X^3+X+1 X^3 X^3+X^2+X+1  1 X^3+X^2+X X^2+1  1 X^3+X X^3+X^2+1 X^3+X X^3  X  1 X^3+1  1 X+1 X^2  1 X^3+X^2+X  1 X^3+X+1 X^3+X^2 X+1  0 X^2+X+1 X^2+X  1 X^2+X X^2+1  1 X^2+1 X+1 X+1 X^2 X^3+X+1 X^3+X+1 X^3  X  1 X^3 X^2+1 X^3+1 X^3+X^2+X  1  X X^3+X X^2+X X^2+X X^3+X^2+X+1 X^3+X^2+X+1 X^2+X X^2 X^3+1 X^3 X^3+X^2 X^2+1 X+1 X^3+X^2+1 X^3+X^2+X  0 X^3+X^2 X^2 X^3+1 X^3 X^3+X^2+X X^3+X^2  1 X^3  1 X^3+X X^3+X^2+X+1 X^3+1  X X^2+X+1 X^3 X^3+X^2+1 X^2+X+1 X^2+X+1  1 X^2+1 X^3+X+1 X^2+X+1 X^3+X^2+X X^2+X  X  1 X^3+X^2+X+1  1  X X^3+X^2+1  X
 0  0  0 X^3 X^3  0 X^3 X^3 X^3  0  0 X^3  0 X^3  0 X^3 X^3  0  0  0  0 X^3 X^3 X^3 X^3 X^3 X^3 X^3  0  0  0  0 X^3  0 X^3  0 X^3  0  0  0 X^3  0 X^3 X^3  0  0  0 X^3  0  0  0 X^3  0 X^3 X^3 X^3 X^3 X^3  0 X^3 X^3  0 X^3  0 X^3  0 X^3  0  0 X^3 X^3 X^3 X^3 X^3  0  0 X^3  0 X^3 X^3 X^3 X^3 X^3 X^3  0 X^3 X^3 X^3  0 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 90.

Homogenous weight enumerator: w(x)=1x^0+228x^90+820x^91+951x^92+1252x^93+859x^94+1056x^95+666x^96+630x^97+407x^98+472x^99+238x^100+220x^101+145x^102+132x^103+77x^104+26x^105+7x^106+1x^108+1x^110+2x^112+1x^118

The gray image is a linear code over GF(2) with n=760, k=13 and d=360.
This code was found by Heurico 1.16 in 6.81 seconds.