The generator matrix 1 0 1 1 1 0 1 1 0 1 1 0 1 1 1 1 1 1 1 1 1 0 1 1 1 X 1 X 1 X 1 1 1 1 0 1 0 1 1 0 1 1 X+1 0 1 0 X+1 1 X X+1 X 1 0 X+1 X X+1 0 1 X+1 0 X+1 1 X 0 1 1 0 X X X 1 X+1 0 0 X 0 0 0 0 X X X X X X 0 X 0 0 X 0 0 X 0 0 X X 0 X X 0 X 0 0 0 0 X X 0 0 0 X 0 X X X X 0 X 0 0 0 X X 0 X X 0 X X X 0 0 0 0 0 X 0 X X 0 0 X 0 0 0 0 0 X 0 X X X X 0 X X X X X X X X 0 0 X 0 0 X X 0 X 0 0 X 0 X 0 0 X generates a code of length 36 over Z2[X]/(X^2) who´s minimum homogenous weight is 33. Homogenous weight enumerator: w(x)=1x^0+22x^33+18x^34+16x^35+26x^36+12x^37+12x^38+5x^40+14x^41+1x^46+1x^54 The gray image is a linear code over GF(2) with n=72, k=7 and d=33. This code was found by Heurico 1.16 in 2.35 seconds.