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  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  1  1  1  1  X  1
 0 X^3+X^2  0  0  0 X^2 X^3+X^2 X^2  0  0  0  0 X^2 X^3+X^2 X^2 X^3+X^2  0  0  0  0 X^2 X^2 X^3+X^2 X^3+X^2  0  0 X^2 X^3 X^3 X^3+X^2 X^2 X^2 X^2  0 X^3+X^2 X^3 X^2 X^2 X^3  0 X^3+X^2 X^3 X^2 X^3+X^2 X^3+X^2  0 X^3 X^3 X^2 X^3+X^2  0 X^3 X^2 X^2 X^3 X^3  0 X^3 X^3+X^2 X^3+X^2 X^3+X^2 X^3+X^2 X^3 X^3 X^3+X^2  0  0 X^2 X^2 X^3 X^2 X^3+X^2  0 X^3 X^3 X^3+X^2 X^3+X^2 X^3 X^3+X^2 X^2  0 X^2 X^3+X^2 X^3 X^3+X^2  0 X^3+X^2 X^3 X^3  0  0 X^3 X^2 X^3+X^2 X^3 X^2 X^3+X^2 X^2 X^2
 0  0 X^3+X^2  0 X^2 X^2 X^3+X^2  0 X^2  0  0 X^3+X^2 X^2 X^3+X^2  0  0  0  0 X^2 X^3+X^2 X^2  0 X^3+X^2  0  0 X^2 X^2  0 X^2 X^3 X^3+X^2 X^3 X^2 X^3  0 X^2  0 X^3+X^2 X^3 X^3+X^2 X^2 X^3 X^3 X^2  0 X^3 X^3+X^2 X^3+X^2 X^3  0 X^3 X^3 X^3+X^2 X^3+X^2 X^3+X^2 X^3+X^2 X^3+X^2  0 X^3  0 X^2 X^2  0 X^2 X^3 X^3+X^2 X^2 X^3 X^2 X^3 X^3 X^2 X^2 X^3 X^2 X^3+X^2 X^3  0  0 X^3+X^2 X^3  0 X^2 X^3 X^3  0 X^2 X^2 X^3+X^2 X^3 X^3 X^2 X^2 X^3 X^3+X^2  0 X^2 X^2 X^3
 0  0  0 X^3+X^2 X^2  0 X^3+X^2 X^2 X^2  0 X^3+X^2  0  0 X^3+X^2 X^2  0 X^3 X^2 X^3+X^2 X^3 X^3 X^3+X^2 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 X^2 X^2 X^3  0 X^3  0 X^2 X^3 X^3 X^3 X^3+X^2 X^2 X^3+X^2 X^3+X^2  0  0 X^3+X^2  0 X^2 X^3 X^2 X^2 X^3 X^3+X^2 X^2  0 X^3+X^2 X^2 X^3 X^3 X^3 X^2 X^2 X^3 X^3 X^2 X^3+X^2 X^3+X^2  0 X^3 X^3 X^3+X^2  0  0 X^3 X^3 X^3+X^2 X^2 X^3 X^2 X^2 X^3+X^2 X^2 X^3+X^2  0  0 X^3 X^3 X^3+X^2 X^3 X^3+X^2 X^2 X^3+X^2  0  0 X^2
 0  0  0  0 X^3  0  0  0  0 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3  0  0  0  0  0  0  0  0 X^3  0 X^3  0 X^3 X^3  0  0  0 X^3  0  0  0 X^3 X^3 X^3 X^3  0 X^3  0  0 X^3 X^3  0  0 X^3  0 X^3  0 X^3  0 X^3  0 X^3 X^3 X^3  0  0 X^3 X^3  0  0  0  0 X^3 X^3  0  0 X^3  0 X^3 X^3  0  0 X^3 X^3  0 X^3  0 X^3  0 X^3  0  0  0  0  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+54x^94+92x^95+45x^96+96x^97+29x^98+1420x^99+30x^100+96x^101+42x^102+84x^103+50x^104+2x^106+4x^107+2x^108+1x^194

The gray image is a linear code over GF(2) with n=792, k=11 and d=376.
This code was found by Heurico 1.16 in 1.37 seconds.