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 X 1 X 1 1 X 1 X 1 X 1 1 1 0 X 0 0 0 0 0 0 0 0 X X 0 0 0 X 0 0 0 0 X X X X X X X X 0 X X 0 0 X X 0 0 0 0 X 0 0 0 0 0 0 X X X 0 X X 0 0 0 X X X X X X X X X 0 X X X X X X 0 X X 0 0 0 X 0 0 0 0 0 X 0 X X X 0 X 0 X X 0 0 0 0 0 0 0 X X 0 X X X 0 X 0 0 X 0 0 0 0 X 0 0 0 X 0 0 X X 0 X X 0 0 X X 0 0 0 X 0 X X 0 X 0 0 X 0 X 0 X 0 0 0 0 0 0 X 0 0 X 0 X 0 0 X X X 0 X X 0 0 0 0 X X 0 0 0 X 0 X 0 0 X X 0 X 0 0 0 0 0 0 X 0 X X X 0 0 0 X X X 0 0 X 0 0 X 0 X 0 X 0 0 X X X 0 X 0 0 0 0 0 0 0 0 0 0 X X X 0 0 X X X 0 X 0 X 0 0 X X 0 0 0 X 0 X 0 X 0 X 0 0 X 0 generates a code of length 37 over Z2[X]/(X^2) who´s minimum homogenous weight is 30. Homogenous weight enumerator: w(x)=1x^0+32x^30+60x^32+61x^34+100x^36+125x^38+72x^40+18x^42+12x^44+18x^46+10x^48+1x^50+1x^54+1x^64 The gray image is a linear code over GF(2) with n=74, k=9 and d=30. This code was found by Heurico 1.16 in 1.17 seconds.