The generator matrix
1 0 0 0 1 1 1 1 1 1 X X 0 1 0 X 0 1 0 X 0 1 1 X 1 1 1 1 1 X X 1 0 1 1 1
0 1 0 0 0 1 X 0 X+1 1 X 1 1 X+1 1 1 1 0 1 X 0 1 0 0 X X X+1 X 1 1 1 X+1 0 X 0 1
0 0 1 0 1 1 1 X 0 X 1 0 X+1 X X+1 0 X 0 X+1 X 1 1 0 1 1 X+1 X 0 X+1 1 X+1 X 1 X+1 X 0
0 0 0 1 1 0 0 1 X X+1 1 1 X 0 X+1 X+1 0 X X+1 1 X+1 0 X 0 X+1 X+1 1 X+1 X X+1 0 0 X X X+1 1
0 0 0 0 X 0 0 0 0 X X X X X 0 0 X X 0 0 0 X 0 X 0 0 X X 0 X 0 0 0 X 0 X
0 0 0 0 0 X 0 0 0 0 0 X X 0 0 0 X 0 X X X X X 0 X 0 X X 0 X 0 0 X X X 0
generates a code of length 36 over Z2[X]/(X^2) who´s minimum homogenous weight is 30.
Homogenous weight enumerator: w(x)=1x^0+90x^30+189x^32+202x^34+164x^36+114x^38+120x^40+86x^42+36x^44+20x^46+2x^48
The gray image is a linear code over GF(2) with n=72, k=10 and d=30.
This code was found by Heurico 1.16 in 0.0685 seconds.