The generator matrix 1 1 1 1 1 1 1 1 X X X 0 0 0 1 1 1 1 1 1 1 0 X 0 X 0 0 X X 0 X X X X 0 0 0 X X 0 0 X 0 0 X X 0 X X 0 X X 0 0 X X 0 X X 0 0 X X generates a code of length 21 over Z2[X]/(X^2) who´s minimum homogenous weight is 21. Homogenous weight enumerator: w(x)=1x^0+8x^21+3x^22+3x^24+1x^30 The gray image is a linear code over GF(2) with n=42, k=4 and d=21. This code was found by Heurico 1.16 in 0.00113 seconds.