The generator matrix 1 0 0 1 1 1 0 1 1 1 X 1 1 X 0 1 1 1 1 0 X 1 1 1 0 0 X 0 1 1 1 0 1 0 1 0 0 1 1 1 0 X X+1 1 1 1 1 0 X+1 X 0 1 1 1 0 0 1 X 1 1 X X+1 X+1 1 X X+1 0 0 1 1 1 0 1 X 1 0 X X+1 X+1 X+1 1 0 X+1 0 0 X+1 X 0 1 1 1 X X+1 1 X+1 X+1 X 1 X+1 0 0 0 X 0 0 0 0 0 0 0 X X 0 0 0 0 X 0 X X X X X 0 X X X X 0 X 0 0 0 0 0 0 X 0 0 X 0 X 0 X 0 X X X 0 0 0 0 0 X 0 X X 0 X X 0 X 0 0 X 0 0 0 0 0 X 0 0 0 X 0 0 0 0 0 X 0 0 X 0 0 X X X X X X 0 X X X X 0 0 0 0 0 0 0 X X 0 X X 0 X 0 0 0 X X X 0 X X 0 X 0 X 0 0 0 X 0 0 X generates a code of length 33 over Z2[X]/(X^2) who´s minimum homogenous weight is 28. Homogenous weight enumerator: w(x)=1x^0+192x^28+168x^30+231x^32+88x^34+148x^36+120x^38+56x^40+8x^42+12x^44 The gray image is a linear code over GF(2) with n=66, k=10 and d=28. As d=28 is an upper bound for linear (66,10,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 10. This code was found by Heurico 1.16 in 50.1 seconds.