The generator matrix

 1  0  0  0  0  1  1  1  0  1  X  1  X  1  1  1  0  1  0  X  0  0  X  1  1  1  1  1  1  1
 0  1  0  0  0  0  0  X  X  1  1  1  0  1  0 X+1  X  1  1  1  X  1  1  0  1  1 X+1  1 X+1  X
 0  0  1  0  0  X  1 X+1  1  0  1 X+1  1  1 X+1  X  1  X  X  1  0 X+1  X  X  X  1 X+1  0  X  0
 0  0  0  1  0 X+1  1  0  1  X X+1  1  X  0  0 X+1 X+1  1  X  0  1  1  1  0 X+1 X+1  X X+1 X+1 X+1
 0  0  0  0  1  1  X  1  1 X+1  X  0 X+1  1  X X+1  X  X X+1  0 X+1  1  0 X+1  0 X+1 X+1  X  0  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+50x^24+68x^25+73x^26+110x^27+112x^28+102x^29+79x^30+80x^31+75x^32+64x^33+49x^34+62x^35+48x^36+22x^37+21x^38+4x^39+2x^40+2x^42

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 0.0507 seconds.