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 X 1 1 1 1 X 1 X X 1 1 X 1 1 0 X 0 0 0 0 0 0 0 X X X 0 0 0 0 X 0 X 0 X 0 X X X 0 0 X X 0 0 X 0 X X 0 X 0 0 X 0 0 0 0 0 X X X X 0 X 0 X X 0 0 0 X X 0 0 X X 0 0 X X X 0 0 0 0 0 X 0 0 0 X 0 0 0 0 X 0 0 X 0 X 0 X X X X 0 0 0 X 0 0 0 X 0 X X 0 X 0 X 0 X X 0 0 0 0 X 0 0 0 X 0 X X X 0 0 0 X X 0 0 X X X 0 X 0 X X 0 X 0 0 X X 0 0 0 0 0 0 0 0 X 0 0 X 0 X 0 0 X X 0 X 0 X 0 X X X X X 0 X 0 0 X X X X 0 X X X 0 0 0 0 0 0 X 0 X X 0 0 0 X X X 0 X X X 0 0 0 0 X X X 0 0 X X X X 0 0 0 0 0 0 0 0 0 0 0 X X X 0 X X 0 X 0 0 0 X X X X 0 X X X 0 0 0 0 0 X 0 0 0 X X generates a code of length 37 over Z2[X]/(X^2) who´s minimum homogenous weight is 32. Homogenous weight enumerator: w(x)=1x^0+122x^32+80x^34+160x^38+104x^40+16x^42+28x^48+1x^64 The gray image is a linear code over GF(2) with n=74, k=9 and d=32. This code was found by Heurico 1.16 in 95.2 seconds.