The generator matrix 1 0 0 1 1 1 X 1 1 X 1 X 1 0 1 1 1 1 1 1 1 0 1 0 0 1 X+1 1 X X+1 1 0 0 1 1 X X X 0 0 1 X 0 0 1 1 X+1 0 X+1 1 X+1 X X 1 X 1 X+1 X+1 1 1 0 1 X 0 0 0 X X X 0 0 0 X X X 0 X X 0 X 0 X X X generates a code of length 21 over Z2[X]/(X^2) who´s minimum homogenous weight is 18. Homogenous weight enumerator: w(x)=1x^0+13x^18+24x^19+21x^20+32x^21+15x^22+7x^24+3x^26+8x^27+3x^28+1x^30 The gray image is a linear code over GF(2) with n=42, k=7 and d=18. This code was found by Heurico 1.16 in 0.00151 seconds.