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 X 1 X 1 X 1 1 1 X 0 1 X 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 X X 0 X 0 X X X X X 0 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 0 0 X X X 0 0 0 X 0 X X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 X X X 0 X 0 X X 0 0 0 0 X X 0 0 0 X X X X 0 0 X 0 X 0 0 0 0 0 0 0 0 X 0 0 0 X 0 0 X X 0 X X 0 0 X X 0 0 0 X X 0 X X 0 0 0 X 0 0 X X 0 X 0 0 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 0 X X 0 0 0 X 0 0 X X X X 0 X X 0 0 0 0 0 0 0 X 0 X X X 0 0 0 X X X 0 0 X 0 0 X X X X 0 X 0 0 X 0 X 0 0 X X X X X 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 0 X 0 0 X 0 0 X X X X X 0 generates a code of length 41 over Z2[X]/(X^2) who´s minimum homogenous weight is 32. Homogenous weight enumerator: w(x)=1x^0+20x^32+13x^34+8x^35+40x^36+32x^37+39x^38+56x^39+31x^40+64x^41+27x^42+56x^43+20x^44+32x^45+18x^46+8x^47+11x^48+20x^50+4x^52+7x^54+1x^56+3x^58+1x^66 The gray image is a linear code over GF(2) with n=82, k=9 and d=32. This code was found by Heurico 1.16 in 0.031 seconds.