The generator matrix 1 0 0 1 1 1 X 1 1 X 1 1 0 X 1 1 X 0 1 1 X 0 1 1 0 1 1 X 1 1 1 1 1 1 1 1 0 1 0 1 0 X 1 X+1 1 X 0 0 1 X+1 1 1 X+1 1 1 1 X+1 1 1 1 X 0 X X 0 X 0 0 X X X X 0 1 1 0 0 0 1 1 X+1 X 1 X+1 X 1 1 0 X X+1 X+1 X X X+1 1 0 0 1 X X+1 1 0 1 1 0 X X 0 1 X+1 X+1 1 0 0 generates a code of length 38 over Z2[X]/(X^2) who´s minimum homogenous weight is 36. Homogenous weight enumerator: w(x)=1x^0+7x^36+18x^37+12x^38+12x^39+8x^40+2x^41+1x^42+1x^46+2x^50 The gray image is a linear code over GF(2) with n=76, k=6 and d=36. This code was found by Heurico 1.16 in 0.00552 seconds.