The generator matrix

 1  0  1  1 X^2  1  1  1 X^2+X  1  1  0 X^3+X  1  1  1  1 X^2  1  1 X^3  1  1 X^3  1  1  X  1  1 X^3+X^2+X  1  1  0  1 X^3+X  1 X^3+X^2+X  1 X^3+X  1 X^2  1  1  0  1  1  1  1  1 X^3+X^2+X  1 X^3 X^3+X^2 X^3+X^2+X  1  1 X^3 X^2+X X^3+X X^2  1 X^2 X^3+X^2 X^2+X X^3+X X^3+X^2+X X^2  X X^3+X^2 X^3+X  1  1  1  1  1  1  1  1  1  1  1  1  1 X^2+X X^3+X^2+X X^3+X  1  1 X^2  1 X^2  1  1  1 X^3+X^2  1  1  1  1
 0  1  1 X^2+X  1 X^2+X+1 X^2 X^3+1  1 X+1 X^3+X^2+X  1  1  0 X^3+X^2+1 X^3 X^3+1  1  X X+1  1 X^2+X X^3+X+1  1 X^2 X^2+1  1 X^3+X^2+X+1 X^3+X^2  1  1  X  1 X^3+X^2+1  1 X^3+X  1 X+1  1 X^2  1 X^3+X X^3+1  1 X^3+X^2 X^2+X+1 X^3 X^2+X X+1  1 X^2+X  1  X  1 X^2+1 X^2  1  1  1  1  0  1  1  1  1  1  1  1  1  1 X^3+X X^3+X^2+X+1 X^2+1 X^3+X X^2+X+1 X^3+X X^3+X+1 X^2+X X^2+1 X^3+X^2+X+1  1  1 X^2+1  1  1  1 X^2+X X^2  1 X^3+X+1  0  0 X^3+X+1  0  1 X^3+X+1 X^3+X^2+X  1  0
 0  0  X  0 X^3+X  X X^3+X X^3  0 X^3 X^3+X X^3+X^2+X X^2 X^3+X^2 X^3+X^2 X^3+X^2+X X^3+X^2+X X^2+X X^2 X^2+X X^3+X X^2+X X^2 X^2 X^2 X^2+X  X X^3+X^2 X^2+X X^3 X^2 X^3+X^2+X X^3  0 X^3+X^2+X X^3 X^2+X X^3+X X^3+X^2 X^3+X^2 X^2+X  X X^2+X X^3+X^2  0  0  X X^3+X^2 X^2+X X^3+X^2+X  0 X^3+X X^3+X^2  X X^3+X X^3 X^3+X^2+X X^3+X  0 X^3 X^3+X^2+X X^3+X^2 X^3+X^2 X^2 X^3+X X^2 X^3+X X^2+X  0 X^3 X^3+X^2+X X^2+X X^3+X^2 X^3+X X^3+X^2+X X^2 X^2 X^3+X^2+X X^3  X X^3 X^3+X^2 X^3+X X^2+X  0  0 X^3+X X^3 X^3 X^3+X^2+X  X X^3  X X^2+X  X X^3+X^2 X^3+X^2+X X^2  0
 0  0  0 X^3  0 X^3 X^3 X^3 X^3  0  0 X^3 X^3  0 X^3 X^3  0  0 X^3 X^3 X^3  0  0  0 X^3 X^3  0 X^3  0  0  0 X^3 X^3  0 X^3  0  0 X^3  0  0 X^3 X^3 X^3 X^3 X^3 X^3  0 X^3  0 X^3  0  0 X^3  0  0 X^3  0 X^3  0 X^3  0 X^3  0 X^3  0  0 X^3 X^3  0 X^3  0  0  0  0 X^3  0 X^3 X^3 X^3  0  0 X^3 X^3  0  0 X^3 X^3  0  0  0  0 X^3  0 X^3  0  0 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+78x^94+508x^95+393x^96+642x^97+292x^98+572x^99+244x^100+478x^101+262x^102+368x^103+101x^104+74x^105+16x^106+24x^107+6x^109+6x^110+16x^111+12x^112+1x^120+2x^134

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 1.52 seconds.