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 X X 1 X 1 1 X 1 X 1 1 1 1 X 1 1 X 1 X 1 X X 1 X
0 X 0 0 0 0 0 0 0 0 0 X 0 0 X X 0 0 0 0 X X X X 0 X X 0 X X X X 0 X 0 X 0 X X 0 0 0 0 0 X X 0 X 0 X X
0 0 X 0 0 0 0 0 0 0 0 X X X X X 0 0 0 X X 0 0 0 0 0 0 X X 0 0 X X 0 0 0 X X X 0 X 0 X X X 0 X 0 X 0 X
0 0 0 X 0 0 0 0 0 0 X 0 X X 0 X X 0 X 0 X X X X 0 X 0 X 0 X 0 X X 0 X 0 0 X 0 0 X 0 0 0 X 0 0 0 0 X X
0 0 0 0 X 0 0 0 0 0 X 0 0 X X X X X 0 X 0 0 0 0 0 X X X 0 X X X 0 X 0 0 0 X X 0 X X 0 0 0 0 X X X 0 0
0 0 0 0 0 X 0 0 0 X 0 0 0 X X 0 X 0 X X X 0 0 X 0 X X 0 X 0 0 0 X X X X X 0 0 0 0 X X 0 0 X 0 0 X 0 X
0 0 0 0 0 0 X 0 0 X 0 0 X 0 0 X X X 0 X X 0 X X 0 0 X 0 X 0 X X 0 0 X 0 X X 0 X X X 0 0 0 0 X 0 X X 0
0 0 0 0 0 0 0 X 0 X X X X 0 0 0 0 0 X X X X X 0 X X 0 0 X X X X X 0 0 X 0 0 0 X X 0 X 0 X X 0 X X 0 X
0 0 0 0 0 0 0 0 X X X X 0 0 X X X 0 0 0 X 0 0 0 X 0 X X 0 X 0 0 0 0 X 0 X 0 0 X X 0 X X 0 X 0 X 0 0 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+47x^42+93x^44+103x^46+125x^48+163x^50+161x^52+123x^54+88x^56+37x^58+31x^60+29x^62+9x^64+9x^66+3x^68+1x^70+1x^80
The gray image is a linear code over GF(2) with n=102, k=10 and d=42.
This code was found by Heurico 1.16 in 13.8 seconds.