The generator matrix
1 0 0 0 1 1 1 1 X 1 1 X 1 0 X X 1 1 1 X X 1 1 0 1 1 X 1 1 0 0 0 0 X 1 X 1 0 0 1 1 1
0 1 0 0 0 1 X 0 0 1 1 1 X+1 1 1 1 0 1 X 0 X X+1 1 1 X 0 X 0 X+1 1 1 1 1 0 X+1 X 0 1 1 1 X+1 1
0 0 1 0 1 1 1 X 1 X 0 0 1 0 1 1 X 0 1 0 1 X+1 X X+1 0 1 1 0 X X 0 X+1 X+1 1 X+1 X 0 X X+1 X+1 0 0
0 0 0 1 1 0 0 1 1 X+1 X X+1 1 X 1 X X+1 X+1 0 1 X+1 X+1 0 X+1 X 0 0 X+1 0 X 1 X+1 1 1 0 1 X X+1 X+1 0 1 X+1
0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 X X X X X X X X X X X 0 0 0 X X 0 X 0 X X X 0 X 0 X 0
0 0 0 0 0 X 0 0 0 0 0 0 X X X X 0 0 0 X X X X 0 X X X X X X 0 0 X X 0 0 X X X 0 0 0
generates a code of length 42 over Z2[X]/(X^2) who´s minimum homogenous weight is 36.
Homogenous weight enumerator: w(x)=1x^0+104x^36+194x^38+206x^40+148x^42+109x^44+90x^46+100x^48+40x^50+19x^52+8x^54+5x^56
The gray image is a linear code over GF(2) with n=84, k=10 and d=36.
This code was found by Heurico 1.16 in 0.087 seconds.