The generator matrix

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

generates a code of length 21 over Z2[X]/(X^2) who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+77x^16+100x^17+98x^18+92x^19+68x^20+136x^21+114x^22+88x^23+90x^24+84x^25+38x^26+12x^27+20x^28+6x^30

The gray image is a linear code over GF(2) with n=42, k=10 and d=16.
As d=16 is an upper bound for linear (42,10,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 10.
This code was found by Heurico 1.10 in 0.016 seconds.