The generator matrix
1 0 1 1 1 0 1 1 0 1 1 0 X 1 1 1 1 0 1 1 0 1 0 1 1 1 1 1 1 1 0 1 X 1 1 1
0 1 1 0 1 1 0 1 1 X X+1 1 1 0 X+1 0 X+1 1 X+1 0 1 0 1 X+1 X+1 X+1 0 X X X+1 0 X 1 X 0 0
0 0 X 0 0 0 0 0 0 0 X 0 0 X X X X X X X X 0 X 0 0 0 0 0 X 0 X 0 X 0 0 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 0 X X 0 X X 0 X 0 0 0 0
0 0 0 0 X 0 0 0 0 0 X X X X 0 0 X 0 X 0 X 0 0 X X X 0 X X 0 X X X 0 0 0
0 0 0 0 0 X 0 0 X 0 0 X 0 X 0 X X X X 0 0 X X X X 0 0 X 0 0 0 0 X 0 0 0
0 0 0 0 0 0 X 0 X X 0 0 X X 0 0 0 X 0 X 0 0 X 0 0 X X 0 0 X X X 0 X 0 0
0 0 0 0 0 0 0 X X 0 X 0 X X X 0 X X 0 0 0 0 0 X X 0 X 0 X 0 0 X 0 X 0 0
generates a code of length 36 over Z2[X]/(X^2) who´s minimum homogenous weight is 28.
Homogenous weight enumerator: w(x)=1x^0+62x^28+66x^30+155x^32+142x^34+193x^36+130x^38+159x^40+42x^42+54x^44+4x^46+12x^48+3x^52+1x^56
The gray image is a linear code over GF(2) with n=72, k=10 and d=28.
This code was found by Heurico 1.16 in 0.0793 seconds.