The generator matrix

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

generates a code of length 30 over Z2[X]/(X^2) who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+28x^29+16x^30+15x^32+4x^37

The gray image is a linear code over GF(2) with n=60, k=6 and d=29.
This code was found by Heurico 1.10 in 0.234 seconds.