The generator matrix

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

generates a code of length 51 over Z2[X]/(X^2) who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+126x^42+455x^44+422x^46+547x^48+512x^50+538x^52+536x^54+455x^56+258x^58+167x^60+66x^62+12x^64+1x^72

The gray image is a linear code over GF(2) with n=102, k=12 and d=42.
This code was found by Heurico 1.10 in 0.609 seconds.