The generator matrix
1 0 0 0 1 1 1 X X 1 1 1 1 0 X 1 1 1 1 0 X 0 0 1 1 1 X 1 0 1 X 1 0 1 0 0 1 1 X 1 1 X X 1 1 0 1 0 X 0 X 1 1 X 0 0 X 1 0 1 1 1 1 X X 1 0 0 X 1 X 0 1 0 X X 0 1 X X 1 1 1 0 X 1 1 0 1 1
0 1 0 0 0 0 0 0 1 X+1 1 1 X+1 1 1 0 0 1 X+1 0 X X 1 X X 1 1 1 1 X 1 X+1 X 1 1 1 1 X 0 1 0 X 1 0 0 1 0 X 1 0 1 X X+1 1 0 1 1 X+1 0 X+1 X X X 1 X X+1 X 0 0 X 1 1 X 1 1 X 1 0 1 1 0 X X+1 1 X X X+1 X X X
0 0 1 0 0 1 X+1 1 0 X+1 1 0 0 1 1 0 X X+1 1 0 1 1 X+1 X+1 1 0 X+1 X X 0 X 1 0 X+1 0 X+1 X 0 X 0 0 1 1 X 1 1 0 1 X+1 1 0 0 0 1 1 X X X 1 X+1 X+1 1 X 0 1 X 1 1 1 X+1 X 1 X X+1 X+1 1 X X X+1 X+1 X+1 X+1 X+1 X+1 1 0 X+1 X 0 1
0 0 0 1 1 1 0 1 1 X X+1 1 0 1 0 X+1 X 0 X+1 1 0 1 X X+1 0 X+1 X+1 X X X 1 X+1 1 X 0 X X+1 X+1 1 0 X X X+1 X+1 X+1 X X+1 X+1 1 X+1 0 X 0 0 1 1 1 1 1 X 0 X 1 0 0 0 X 0 0 1 0 X+1 0 X X X 0 X+1 X+1 0 1 X+1 X+1 1 0 X 1 1 0 X
0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X X X X 0 0 0 0 X 0 0 X X 0 X X X X X X X 0 X X X 0 0 X X 0 X X X X X 0 X 0 X 0 0 X X 0 X 0 0 0 0 X 0 0 0 0 0 X 0 X 0 X X 0 X X X 0 X
0 0 0 0 0 X X 0 0 X X X X 0 0 X 0 0 0 X X X X 0 0 0 X X 0 X X X X 0 0 0 0 X 0 X X 0 0 X 0 0 0 0 X X 0 0 0 X 0 0 X X X X 0 X 0 X 0 0 X X X X X 0 0 0 X 0 0 X 0 0 X 0 X X X X 0 0 0 0
generates a code of length 90 over Z2[X]/(X^2) who´s minimum homogenous weight is 84.
Homogenous weight enumerator: w(x)=1x^0+278x^84+338x^88+217x^92+81x^96+40x^100+44x^104+17x^108+6x^112+2x^120
The gray image is a linear code over GF(2) with n=180, k=10 and d=84.
This code was found by Heurico 1.16 in 21.5 seconds.