The generator matrix
1 0 1 1 1 0 1 1 0 1 1 0 X 1 1 1 1 0 1 X 1 1 1 0 1 1 1 0 1 0 0 1 X 1 0 1 1 X 0
0 1 1 0 1 1 0 1 1 X X+1 1 1 0 X+1 0 X+1 1 X+1 1 X 0 X+1 1 X+1 1 0 1 0 1 1 X+1 1 X 0 X+1 X 0 X
0 0 X 0 0 0 0 0 0 0 X 0 0 X X X X 0 0 0 0 X X X X 0 0 X 0 0 X X 0 X X X X X 0
0 0 0 X 0 0 0 0 0 X 0 0 0 0 X X 0 X X X X X X X X X X 0 X X X X X X 0 0 0 X X
0 0 0 0 X 0 0 0 0 0 X X X X 0 X X X X X 0 X X X 0 0 0 X X 0 0 0 X X 0 X X 0 X
0 0 0 0 0 X 0 0 X 0 0 X 0 X 0 X 0 X 0 0 0 X X X X 0 X 0 0 X 0 X X 0 0 X 0 0 X
0 0 0 0 0 0 X 0 X X 0 0 X X 0 0 X 0 X 0 X X X X 0 0 0 0 0 X 0 0 X X X X X X 0
0 0 0 0 0 0 0 X X 0 X 0 X X X 0 0 X 0 X X X 0 X X X 0 X X X X 0 X X X X 0 0 X
generates a code of length 39 over Z2[X]/(X^2) who´s minimum homogenous weight is 32.
Homogenous weight enumerator: w(x)=1x^0+96x^32+86x^34+200x^36+124x^38+193x^40+136x^42+108x^44+36x^46+27x^48+2x^50+12x^52+3x^56
The gray image is a linear code over GF(2) with n=78, k=10 and d=32.
This code was found by Heurico 1.16 in 0.0938 seconds.