The generator matrix

 1  0  1  1  1  0  1  1  0  1  1  0  1  1  0  1  1  0  1  1  1  X  1  X  1  X  1  X  1  1
 0  1  1  0  1  1  0 X+1  1  0 X+1  1  0 X+1  1  0 X+1  1  X X+1  X  X X+1  1  1  0  0  X  0  X
 0  0  X  0  0  0  0  X  0  X  X  X  0  0  0  X  X  X  X  0  X  0  0  X  0  0  0  0  X  X
 0  0  0  X  0  0  X  X  0  X  0  X  0  X  X  X  0  0  X  0  X  X  X  0  0  0  0  X  0  0
 0  0  0  0  X  0  X  0  X  X  X  X  0  X  0  0  X  0  X  X  0  0  0  X  0  0  X  X  0  X
 0  0  0  0  0  X  0  X  X  X  0  X  X  0  X  0  X  0  X  0  0  X  X  X  0  X  0  0  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+54x^26+65x^28+45x^30+41x^32+22x^34+18x^36+6x^38+2x^40+1x^44+1x^46

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 32.2 seconds.