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 X X 1 X X 1 X X 1 X X X X X X X X
0 X 0 0 0 0 0 0 0 X X X X X X X 0 0 0 0 0 0 0 X X X X X X 0 X 0 X X X 0 0 X 0 X X 0 0
0 0 X 0 0 0 X X X X X 0 X X 0 0 0 0 0 0 X X X X X X 0 0 0 X X X 0 X X X X X X X 0 0 0
0 0 0 X 0 X X X 0 0 0 0 X X X X 0 0 X X X X 0 0 0 X X 0 X 0 X 0 0 0 X X X 0 0 X X 0 X
0 0 0 0 X X 0 X X 0 X X X 0 0 X 0 X X 0 0 X X 0 X X X X 0 0 0 0 0 0 0 X 0 X X X 0 X X
generates a code of length 43 over Z2[X]/(X^2) who´s minimum homogenous weight is 41.
Homogenous weight enumerator: w(x)=1x^0+14x^41+11x^42+16x^43+12x^44+4x^46+3x^48+2x^57+1x^58
The gray image is a linear code over GF(2) with n=86, k=6 and d=41.
This code was found by Heurico 1.16 in 0.0646 seconds.