The generator matrix

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

generates a code of length 21 over Z2[X]/(X^2) who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+116x^12+232x^13+447x^14+704x^15+1232x^16+1750x^17+2634x^18+3412x^19+3781x^20+4236x^21+3734x^22+3300x^23+2620x^24+1800x^25+1276x^26+764x^27+430x^28+172x^29+99x^30+12x^31+11x^32+2x^33+2x^34+1x^36

The gray image is a linear code over GF(2) with n=42, k=15 and d=12.
This code was found by Heurico 1.11 in 6.59 seconds.