The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X X X 1 0 X 0 0 0 0 0 0 0 0 X X 0 0 0 X X X X X 0 0 0 X 0 0 0 0 0 0 X X X 0 X X 0 X X 0 0 0 0 0 0 X 0 0 0 0 0 X 0 X X X 0 X 0 X X 0 0 0 0 0 0 X 0 0 0 X 0 0 X X 0 X X 0 0 X X 0 0 0 0 0 0 X 0 0 X 0 X 0 0 X X X 0 X X 0 0 0 0 0 0 0 0 X 0 X X X 0 0 0 X X X 0 0 X 0 0 0 0 0 0 0 0 X X X 0 0 X X X 0 X 0 X 0 0 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+78x^16+32x^17+52x^18+192x^21+48x^24+32x^25+72x^26+1x^32+4x^34 The gray image is a linear code over GF(2) with n=42, k=9 and d=16. This code was found by Heurico 1.16 in 0.016 seconds.