The generator matrix 1 0 0 1 1 1 X 1 1 1 1 0 X 0 1 1 1 1 0 1 0 1 1 X 1 1 1 1 1 0 0 1 1 1 X 1 0 1 0 0 1 1 1 0 X X+1 1 1 1 X 0 1 0 X 1 X 1 1 X 1 1 0 X+1 0 X 1 1 X+1 0 1 1 0 0 0 1 1 1 0 1 X X+1 X X+1 X 1 1 0 1 X 1 X 1 X X X X+1 X X+1 0 X+1 X X+1 X X X 1 X 0 0 0 0 X 0 0 0 0 0 X X X 0 X X X 0 0 X X 0 0 X X X X X 0 0 0 0 X 0 X 0 0 0 0 0 0 X 0 0 X X 0 0 X X 0 X X 0 0 X X 0 X 0 X X X 0 X 0 0 X 0 0 0 X 0 0 0 0 0 0 X 0 0 0 0 0 0 X X 0 X X 0 X 0 X X X X 0 X X X 0 0 0 X 0 0 X X generates a code of length 36 over Z2[X]/(X^2) who´s minimum homogenous weight is 32. Homogenous weight enumerator: w(x)=1x^0+188x^32+172x^36+114x^40+28x^44+9x^48 The gray image is a linear code over GF(2) with n=72, k=9 and d=32. As d=32 is an upper bound for linear (72,9,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 9. This code was found by Heurico 1.16 in 0.187 seconds.