The generator matrix

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

generates a code of length 21 over Z2[X]/(X^2) who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+52x^14+126x^15+216x^16+244x^17+299x^18+402x^19+424x^20+508x^21+477x^22+406x^23+370x^24+252x^25+149x^26+86x^27+44x^28+20x^29+15x^30+4x^31+1x^32

The gray image is a linear code over GF(2) with n=42, k=12 and d=14.
This code was found by Heurico 1.10 in 0.141 seconds.