The generator matrix

1 0 1 0 1 1 1 1 1 1 0 X 1 1 0 X X 1 0 1 1
1 1 X 1 X X+1 X X 1 1 X 0 0 1 0 X 1 1 X 0 1
1 1 0 X X+1 0 X+1 X 0 X+1 0 1 X 0 X 1 0 0 1 1 0
0 0 0 0 0 X 1 X+1 1 X+1 1 1 X+1 X+1 1 0 X 0 X 0 X+1
0 0 X 0 0 0 0 0 X 0 X X X+1 1 X+1 1 X+1 1 X+1 X X+1
0 0 X 0 X 0 0 0 X X 0 0 X 0 X 0 X X 0 0 0

generates a code of length 21 over Z2[X]/(X^2) who´s minimum homogenous weight is 15.

Homogenous weight enumerator: w(x)=1x^0+48x^15+171x^16+144x^17+80x^18+208x^19+324x^20+224x^21+96x^22+208x^23+243x^24+144x^25+80x^26+48x^27+28x^28+1x^40

The gray image is a linear code over GF(2) with n=42, k=11 and d=15.
This code was found by an older version of Heurico in 0 seconds.