The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 X 1 1 X X 1 X X X 0 X 0 0 0 0 0 0 0 0 0 X 0 X X 0 0 X X 0 X X 0 0 X X 0 0 X X 0 0 X X X 0 X X X 0 0 X 0 0 X 0 0 0 0 0 0 0 0 X X X 0 0 X X 0 X X 0 0 X X 0 X 0 0 X X 0 X 0 X X 0 0 X X X 0 0 0 0 X 0 0 0 0 0 0 0 X X 0 X X X 0 0 0 X X X X 0 0 0 X X X 0 X 0 0 X X X 0 0 X 0 X 0 0 0 0 X 0 0 0 X X X 0 0 0 0 X 0 0 X X X 0 X 0 X 0 X 0 X 0 X 0 X 0 X X 0 X X 0 0 X 0 0 0 0 0 X 0 X X X 0 0 0 0 0 0 0 X X 0 X X 0 X X 0 X X X X 0 X X 0 X 0 0 0 0 X X X 0 0 0 0 0 0 X X 0 X X 0 0 0 0 0 X X 0 X X 0 X X X X 0 0 X X 0 0 0 X 0 X X 0 X X 0 X generates a code of length 42 over Z2[X]/(X^2) who´s minimum homogenous weight is 37. Homogenous weight enumerator: w(x)=1x^0+14x^37+38x^38+46x^40+70x^41+42x^45+22x^46+13x^48+2x^49+3x^54+4x^56+1x^70 The gray image is a linear code over GF(2) with n=84, k=8 and d=37. This code was found by Heurico 1.16 in 13.3 seconds.