The generator matrix

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

generates a code of length 30 over Z2[X]/(X^2) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+117x^24+102x^26+227x^28+158x^30+203x^32+114x^34+68x^36+10x^38+23x^40+1x^44

The gray image is a linear code over GF(2) with n=60, k=10 and d=24.
This code was found by Heurico 1.16 in 0.186 seconds.