The generator matrix 1 0 0 0 1 1 1 1 1 X 1 1 1 1 X 0 1 0 0 X X 1 1 X+1 1 X+1 0 0 0 X 0 0 1 0 0 X+1 X 1 X+1 X+1 1 1 X 0 1 0 0 0 1 1 X+1 1 X 1 0 X 1 0 X+1 1 generates a code of length 15 over Z2[X]/(X^2) who´s minimum homogenous weight is 12. Homogenous weight enumerator: w(x)=1x^0+66x^12+72x^14+63x^16+24x^18+30x^20 The gray image is a linear code over GF(2) with n=30, k=8 and d=12. As d=12 is an upper bound for linear (30,8,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 8. This code was found by Heurico 1.16 in 0.0028 seconds.