The generator matrix

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

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+174x^94+392x^95+461x^96+532x^97+375x^98+440x^99+373x^100+408x^101+306x^102+312x^103+172x^104+84x^105+39x^106+8x^107+8x^108+3x^112+2x^116+2x^118+2x^124+1x^132+1x^136

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 1.55 seconds.