The generator matrix 1 0 0 0 1 1 1 0 0 X 1 1 1 X 1 0 X X X X 0 1 1 1 1 0 1 1 1 0 1 0 1 0 0 X 1 X+1 1 1 1 1 1 0 X 0 X 1 0 1 1 1 X X+1 X 1 1 0 X X+1 1 X+1 0 0 1 0 0 0 0 X 1 1 1 X+1 1 1 X+1 1 X+1 1 X X X X+1 1 X X 0 X 1 X X+1 X+1 0 0 0 1 1 X+1 X X+1 1 0 X 1 1 1 X X X X+1 X+1 1 X 1 1 X+1 1 X X X 0 1 X generates a code of length 31 over Z2[X]/(X^2) who´s minimum homogenous weight is 28. Homogenous weight enumerator: w(x)=1x^0+74x^28+96x^30+31x^32+48x^36+6x^44 The gray image is a linear code over GF(2) with n=62, k=8 and d=28. As d=28 is an upper bound for linear (62,8,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 8. This code was found by Heurico 1.16 in 0.0101 seconds.