The generator matrix

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

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+48x^89+304x^90+310x^91+346x^92+378x^93+520x^94+486x^95+436x^96+380x^97+280x^98+226x^99+161x^100+58x^101+71x^102+34x^103+47x^104+8x^106+1x^118+1x^156

The gray image is a linear code over GF(2) with n=760, k=12 and d=356.
This code was found by Heurico 1.16 in 1.47 seconds.