The generator matrix 1 0 0 1 1 1 X 1 1 1 1 0 1 X 1 0 0 1 1 1 0 X 1 1 1 0 1 1 X 0 0 1 0 0 1 1 1 0 X X+1 1 1 0 1 1 0 1 X X+1 X X 1 X X+1 X+1 1 X+1 1 1 X 0 0 1 1 1 0 1 X X+1 X X+1 X 0 1 1 1 0 0 1 1 1 0 X+1 1 1 X+1 1 X+1 X+1 1 0 0 0 X 0 0 0 0 0 X X X X 0 X 0 0 X 0 X X X 0 0 0 X X X X 0 0 0 0 0 X 0 0 X X 0 0 X X X X 0 X 0 X X X 0 0 0 0 0 X 0 X X 0 0 0 0 0 X 0 0 0 0 0 0 0 X X X 0 X X 0 X X 0 0 X 0 X X X X generates a code of length 30 over Z2[X]/(X^2) who´s minimum homogenous weight is 26. Homogenous weight enumerator: w(x)=1x^0+126x^26+118x^28+94x^30+45x^32+78x^34+26x^36+18x^38+2x^40+4x^42 The gray image is a linear code over GF(2) with n=60, k=9 and d=26. As d=26 is an upper bound for linear (60,9,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 9. This code was found by Heurico 1.16 in 44.6 seconds.