The generator matrix

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

generates a code of length 30 over Z2[X]/(X^2) who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+12x^28+32x^30+15x^32+4x^36

The gray image is a linear code over GF(2) with n=60, k=6 and d=28.
This code was found by Heurico 1.16 in 0.00253 seconds.