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  0  1 X^3+X  1  1  1  1  1 X^3+X^2+X X^2+X X^3+X^2 X^2  1 X^3  1  1 X^3 X^3+X^2  1  1  1  1 X^3+X  X  1  1  1  1  1  1 X^3+X^2+X  1  1  1 X^3+X^2 X^3 X^2+X  1  1  1 X^2  1 X^2+X  1 X^2+X X^2  1  1  1  1  1  X  1  1  1  1  1  1  1  1  1 X^3+X^2  1  1 X^3+X^2+X  1 X^3+X^2  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  1 X^3+X  0 X^3+X^2+X+1 X^2  1 X^3+1  X X^3+X X^3+X^2+X X+1 X^3+X^2 X^2+X+1  1  1  1  1  0  1 X^2 X^3+X+1  1 X^3+X^2 X^3+1  X X^2+X X^2+X  1  1 X^3 X^3 X^2+X+1  1  X X^3+X^2+1  1 X^3+X+1 X^3+X^2+X X+1  1 X^3  1 X^3+X+1 X^2  X X^3+X^2+X  X  1 X^3+X^2  1  1 X^3+X+1 X^2 X^2+X X^3+1 X^2+X  1 X^3+X^2  X X^2 X^3+X^2 X^3+X^2 X^2+1  1 X^3+X^2+X+1  1  1 X^3+X^2 X^3+X^2+X+1 X^3+X X^3+1  1 X^3+X^2  0
 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 X^2+1 X^3+X^2 X^3+1 X^2+X+1  1  X X^2+X  1 X^3+X X^3+X^2+1 X^2 X^3+X^2 X^2+1 X^3+X^2+1  0 X^2+1 X^3+X^2+X X^3+X^2+X+1 X^2+X+1 X^3+X^2+X X^3+X^2+X X^3  1 X+1 X^2+X+1 X^2 X^3+X^2+X+1  X X^3+X^2+X+1  1 X^2 X^3+X+1 X^3  1 X^3+X^2+X X^3+X^2  X X^3+X^2 X^3+X+1  1  1 X+1 X^3+1 X^3+X^2+X+1 X^3+X^2  1 X^3+X^2+X  1 X^3+1 X+1 X^3+X+1 X^3+X^2 X^3+X^2+1 X^3+X^2+X+1 X^2+X+1 X^3+X+1 X^3+1 X+1 X^3+1 X^3+X^2+X+1 X^3+X  X X^3+X^2+X X^3 X^2 X^3+X^2 X^2 X+1 X^3+X^2+X  1 X^3+X^2+1 X+1  0 X^3+X^2
 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 X^3  0  0  0  0  0 X^3 X^3 X^3  0 X^3 X^3 X^3  0  0  0 X^3 X^3  0 X^3  0  0 X^3  0 X^3  0 X^3  0  0 X^3 X^3  0  0 X^3 X^3 X^3 X^3  0  0 X^3  0  0  0  0  0 X^3  0  0 X^3  0  0 X^3 X^3  0  0  0  0 X^3  0 X^3 X^3 X^3 X^3 X^3 X^3  0  0 X^3 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+226x^94+828x^95+995x^96+1294x^97+830x^98+908x^99+644x^100+744x^101+519x^102+384x^103+228x^104+178x^105+122x^106+140x^107+50x^108+64x^109+28x^110+4x^111+2x^112+1x^114+1x^122+1x^126

The gray image is a linear code over GF(2) with n=792, k=13 and d=376.
This code was found by Heurico 1.16 in 4.47 seconds.