The generator matrix

1 0 0 0 1 1 1 0 X 1 1 1 1 0 0 X 1 1 X 1 0 1 X 1 0 X 1 0 0 X
0 1 0 0 0 0 X X 1 1 1 1 X+1 1 X 0 1 X 1 1 1 X+1 1 0 1 0 X+1 1 X 0
0 0 1 0 0 1 1 1 0 1 X+1 X X 1 0 1 X+1 X X 0 1 1 0 X X 1 1 X 1 0
0 0 0 1 1 X 1 X+1 1 X+1 X 0 X+1 0 1 X 1 0 X 0 X 0 1 1 X 0 1 X 1 1
0 0 0 0 X 0 0 0 0 0 0 0 0 X X X X X X X 0 0 X X 0 0 X X X 0

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+114x^26+138x^28+87x^30+70x^32+32x^34+40x^36+23x^38+7x^40

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 1.10 in 0.063 seconds.