The generator matrix

 1  0  0  1  1  1  X  1  1  1  0  1  0  X  1  1  1  1  1  1  0  1  X  X  1  1  1  1  1  1
 0  1  0  0  1 X+1  1  0  X  1  1 X+1  1  X X+1  1  1 X+1  X  0  X  1  1  1  1 X+1 X+1  0  1  0
 0  0  1  1  1  0  1  X  1 X+1 X+1  X  0  1 X+1 X+1 X+1  1  X  1  1  0  X X+1  1 X+1 X+1  0  0  0
 0  0  0  X  0  0  0  0  0  0  0  X  X  X  X  X  X  X  X  X  X  X  X  X  X  0  X  X  X  0
 0  0  0  0  X  X  0  X  0  0  X  0  0  X  X  0  X  X  X  X  0  X  X  0  0  0  0  X  0  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+18x^26+48x^27+37x^28+24x^29+33x^30+32x^31+16x^32+8x^33+9x^34+8x^35+7x^36+3x^38+8x^39+3x^40+1x^42

The gray image is a linear code over GF(2) with n=60, k=8 and d=26.
This code was found by Heurico 1.16 in 0.00664 seconds.