The generator matrix

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

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+76x^24+184x^26+195x^28+144x^30+201x^32+104x^34+92x^36+16x^38+10x^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 0.0544 seconds.