The generator matrix 1 0 0 0 1 1 1 X 1 1 1 1 0 X 1 0 1 0 X 1 1 0 1 0 0 0 1 1 1 0 X 0 X+1 1 1 X X 1 1 1 0 0 0 0 1 0 1 0 X+1 1 1 X X+1 X+1 X+1 1 X 0 X+1 X 0 X+1 X+1 0 0 0 1 1 X+1 X 1 X 1 0 X X X+1 X 1 1 1 X+1 0 0 0 0 0 0 X X 0 0 0 0 X X X X X X X X 0 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+55x^16+108x^18+98x^20+104x^22+80x^24+44x^26+22x^28 The gray image is a linear code over GF(2) with n=42, k=9 and d=16. This code was found by Heurico 1.10 in 0 seconds.