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 X X X X 1 1 X X 1 1 X 1 1 1 1 X 1 1 1
0 X 0 0 0 0 0 0 0 0 0 X 0 0 X X 0 0 0 0 X X X X X X 0 0 X X X X 0 X X 0 0 X 0 X 0 0
0 0 X 0 0 0 0 0 0 0 0 X X X X X 0 0 0 X X 0 0 X 0 0 X X 0 0 X 0 X 0 0 0 X X X 0 0 0
0 0 0 X 0 0 0 0 0 0 X 0 X X 0 X X 0 X 0 X X X 0 X X X 0 0 X X 0 0 0 0 0 X X 0 X 0 0
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 0 0 X X X X X X 0 0 X 0 0 0 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 X X X 0 0 0 0 0 0 X 0 0 X 0 X X 0 0
0 0 0 0 0 0 X 0 0 X 0 0 X 0 0 X X X 0 X X 0 X X X 0 0 X 0 X 0 X X X 0 0 X 0 0 X 0 0
0 0 0 0 0 0 0 X 0 X X X X 0 0 0 0 0 X X X X X X 0 X X X X X X 0 X 0 X X 0 X X 0 0 0
0 0 0 0 0 0 0 0 X X X X 0 0 X X X 0 0 0 X 0 0 0 0 0 X 0 0 X 0 X X 0 X X X X 0 0 X X
generates a code of length 42 over Z2[X]/(X^2) who´s minimum homogenous weight is 32.
Homogenous weight enumerator: w(x)=1x^0+56x^32+2x^34+124x^36+56x^38+217x^40+140x^42+205x^44+56x^46+95x^48+2x^50+51x^52+15x^56+3x^60+1x^68
The gray image is a linear code over GF(2) with n=84, k=10 and d=32.
This code was found by Heurico 1.16 in 0.131 seconds.