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

generates a code of length 99 over Z2[X]/(X^4) who´s minimum homogenous weight is 94.

Homogenous weight enumerator: w(x)=1x^0+173x^94+386x^95+489x^96+414x^97+492x^98+378x^99+385x^100+376x^101+407x^102+338x^103+208x^104+6x^105+11x^106+14x^107+2x^108+4x^109+1x^110+1x^114+2x^118+4x^119+2x^120+1x^132+1x^142

The gray image is a linear code over GF(2) with n=792, k=12 and d=376.
This code was found by Heurico 1.16 in 1.23 seconds.