The generator matrix 1 0 1 1 1 0 1 1 0 1 1 1 0 1 X 0 1 1 1 0 1 0 1 1 0 1 1 0 X+1 1 1 0 X 1 0 1 1 0 0 X 1 X+1 0 0 X 0 0 0 0 0 0 X X X 0 X 0 X 0 0 X 0 X 0 0 0 X 0 0 0 X 0 X X 0 X X X 0 X 0 0 0 0 0 0 0 0 X 0 0 0 X X 0 0 X 0 0 X 0 X X X 0 0 0 0 0 0 X 0 X X X 0 0 0 X 0 0 X X 0 X 0 0 0 0 0 0 0 X X 0 X 0 X X X X 0 0 X X X 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+57x^16+68x^18+141x^20+104x^22+106x^24+20x^26+10x^28+4x^32+1x^36 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.