The generator matrix

 1  0  0  0  1  1  1  0  1  1  0  1  X  1  X  1  X  0  0  1  1  1  X  X  1  X  1  1  0  X  1  X  0  1  1  1  1  1  0  1  0  0  0  1  0  1  1  X  X  1  1  X  0  1  0  1  X  0  1  0  1  0  1  0  X  0  1  1  1  1  X  0  1  1  1  1  1  0  1  X  1  0  X  X  1  1  1  1  0  1  X  1  1  1  1  0  1  1  0
 0  1  0  0  0  0  0  0  1 X+1  1 X+1  1 X+1  1  1  1  1  0  1  X  0  1  X X+1  X X+1  0  1  1  1  1  1 X+1  X  1  0  0  1  0  X  0  X  1  X  1  0  X  X X+1  0  1  1  X  0 X+1  1  1  0  X  1  X  X  0  0  1  0  1  1  1  1  1  0  X  0  1  X  0  1  1 X+1  0  1  X X+1 X+1  0  X  1  X  0  1  X X+1  0  1  0  0  1
 0  0  1  0  0  1  1  1  1 X+1 X+1  X  1  X  0 X+1 X+1 X+1  0  1 X+1 X+1  0  1  0  1  0  0  0  X  X X+1  1  X X+1 X+1  X X+1  X  1  1  1  1 X+1  1  0  1  X  1 X+1  0  1 X+1 X+1  X  1  0  X  1  1  0  1  1  1  1  1  1 X+1  1  X  1  X  0  X X+1  1  0  0  X  1  X  1  X  1  1  X  X  1 X+1  X  X  0  X  1  1  1  X X+1 X+1
 0  0  0  1  1  1  0  1  X X+1  1  1  X  X  1 X+1  1  X  1  X  1  X  X X+1  1  0  0 X+1  1  X  0 X+1  X X+1 X+1  0  X  0 X+1  0  0  X  0  1  0  1  X  1  1  1  0  0  1  1  1  0 X+1  1 X+1  0  1  0  X  1  1  0 X+1  0  0 X+1  X  0  0  1  X X+1 X+1  1  1  1  1  1  1  1 X+1  1  1 X+1  1  0  1 X+1  X  1  1  X  0 X+1  X
 0  0  0  0  X  0  0  0  0  0  X  X  X  X  X  0  0  0  X  0  X  X  0  0  0  X  X  X  0  X  0  0  0  0  0  X  0  0  0  0  X  X  0  0  X  X  X  0  0  X  X  X  0  X  X  0  0  0  0  X  0  0  X  X  0  X  0  0  X  X  0  X  X  0  0  X  0  X  X  X  0  X  0  0  0  0  0  X  X  X  X  X  0  0  0  0  0  X  X
 0  0  0  0  0  X  0  0  0  0  0  0  0  X  X  X  X  0  X  X  X  X  X  0  0  0  X  X  X  X  0  0  X  X  X  X  0  0  0  X  X  0  0  0  X  0  X  0  X  X  X  0  X  0  X  X  X  0  X  X  X  X  0  X  X  0  X  X  X  X  0  0  0  0  0  X  0  0  0  X  X  0  X  X  X  0  X  X  0  X  X  X  X  0  0  0  0  0  X
 0  0  0  0  0  0  X  0  X  X  X  0  X  X  X  0  0  X  X  0  0  0  X  X  0  0  0  0  0  0  X  X  X  0  X  X  X  0  0  X  0  0  X  0  X  0  0  0  0  X  X  0  X  0  X  0  0  0  X  X  0  0  X  0  X  X  0  X  0  X  0  0  X  X  0  X  0  X  X  X  X  X  X  X  X  0  0  X  0  0  X  0  X  X  0  X  0  X  0
 0  0  0  0  0  0  0  X  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  X  0  X  X  X  X  X  X  0  X  X  0  X  0  0  X  X  X  X  0  X  0  0  0  X  X  0  X  0  X  0  X  X  X  0  X  X  X  X  0  X  X  X  0  0  X  X  0  X  0  X  X  0  X  X  X  X  0  X  0  X  0  0  X  0  X  X  0  X

generates a code of length 99 over Z2[X]/(X^2) who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+135x^88+304x^90+474x^92+486x^94+451x^96+360x^98+400x^100+306x^102+319x^104+250x^106+242x^108+142x^110+112x^112+54x^114+34x^116+16x^118+6x^120+2x^124+2x^126

The gray image is a linear code over GF(2) with n=198, k=12 and d=88.
This code was found by Heurico 1.16 in 4.18 seconds.