The generator matrix

 1  0  1  1  1 X^3+X^2+X  1  1 X^3  1  1 X^2+X  1  1  X  1 X^3+X^2  1  1 X^2  1  1  1 X^3+X  1  1 X^2+X  1  1 X^3+X^2+X X^3  1  1  1  1 X^2  1  1  0  1  1 X^3+X^2 X^3+X  1  1  X  1  1  1  1  1  1 X^2+X X^3+X X^3 X^2  X  1  1  1  1  1  1  1  X  1  1  1  1  1  1  1  X  1  1  1  1  1  1  0  1  1  1  1  1  1  1  X X^3+X^2+X X^3+X  1  1  1  1  1
 0  1 X+1 X^3+X^2+X X^2+1  1 X^3+X^2+1  0  1 X^3+X^2+X X+1  1 X^3+X^2 X^2+X+1  1  X  1  1 X^3+X^2+X+1  1 X^3+X^2  X X^3+1  1 X^3 X^3+X+1  1 X^2+X X^3+1  1  1 X+1 X^3+X X^3+X^2 X^3+1  1 X^2+X+1 X^3+X^2+1  1  X X^3  1  1 X^3+X^2 X^3+X^2+1  1 X^2+X+1 X^3+X X^3+X^2+X  0 X+1  1  1  1  1  1 X^3  0 X^3+X X^3+X+1 X^2+1 X^3+X^2+X X^2+X+1 X^2  1 X^3+X^2 X^3+X^2+X  0  X X^2 X^3+X^2+X X^3+X X^2 X^2  X X^3+X^2  X X^2 X^2  1  X X^2+X  0 X^2+X X^2+X X^3+X^2+X X^3+X^2  1  1  1  1 X^2+1 X^2+1 X+1  0
 0  0 X^2  0  0  0  0 X^3+X^2 X^3+X^2 X^2 X^3+X^2 X^2 X^2 X^3+X^2 X^3 X^3+X^2 X^3 X^3 X^2 X^2 X^3 X^3 X^3 X^3+X^2  0  0 X^3 X^3+X^2 X^2 X^3+X^2  0  0 X^3 X^2 X^2 X^2 X^3 X^3+X^2 X^3+X^2  0 X^3+X^2 X^3 X^2 X^3 X^3+X^2  0 X^3 X^2 X^3 X^2 X^3 X^3+X^2 X^2 X^3 X^2  0 X^3+X^2 X^3 X^3+X^2 X^3 X^2 X^3+X^2  0 X^3 X^2  0  0 X^2 X^3 X^3+X^2  0 X^2 X^3+X^2 X^3+X^2 X^3 X^3+X^2  0 X^3+X^2 X^2 X^3 X^3+X^2 X^3 X^3 X^2 X^2 X^2  0 X^3 X^3 X^2 X^3 X^3  0 X^3  0
 0  0  0 X^3+X^2 X^3 X^3+X^2 X^2 X^2 X^3 X^3 X^3+X^2 X^3+X^2 X^2  0 X^3+X^2 X^3  0 X^2 X^3+X^2 X^3  0 X^3+X^2 X^3 X^3+X^2 X^2 X^3+X^2  0 X^3+X^2 X^2 X^3 X^3+X^2 X^3  0  0 X^3 X^2  0  0 X^3+X^2 X^3 X^3 X^2  0 X^3+X^2 X^3+X^2 X^3 X^2 X^2  0  0  0  0  0  0 X^2 X^3+X^2 X^3+X^2 X^3+X^2 X^3+X^2 X^2 X^2 X^3 X^3+X^2 X^3 X^3+X^2 X^2 X^3 X^2 X^2 X^2 X^2 X^3 X^3+X^2 X^3 X^3 X^3+X^2  0  0 X^3+X^2 X^3  0 X^3+X^2  0  0 X^2 X^3+X^2 X^3+X^2 X^2 X^3+X^2 X^2  0 X^3 X^3+X^2 X^3+X^2 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+130x^90+332x^91+538x^92+456x^93+500x^94+392x^95+462x^96+408x^97+344x^98+284x^99+118x^100+48x^101+66x^102+3x^104+2x^106+2x^108+2x^112+4x^114+2x^118+2x^136

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 1.09 seconds.