The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X 1 X X X X 1 1
0 X 0 0 0 0 0 0 0 0 0 X 0 0 X X 0 0 0 X X 0 X 0 0 X X X X 0
0 0 X 0 0 0 0 0 0 0 0 X X X X X 0 X 0 X 0 0 0 0 X X 0 0 0 X
0 0 0 X 0 0 0 0 0 0 X 0 X X 0 X X X 0 0 X X X X 0 0 0 X 0 X
0 0 0 0 X 0 0 0 0 0 X 0 0 X X X X 0 X X X 0 X X X 0 X X X X
0 0 0 0 0 X 0 0 0 X 0 0 0 X X 0 X X 0 X X X X 0 X X X 0 X 0
0 0 0 0 0 0 X 0 0 X 0 0 X 0 0 X X X X X 0 0 X 0 X X 0 X X 0
0 0 0 0 0 0 0 X 0 X X X X 0 0 0 0 X 0 X X X 0 0 0 X 0 X X X
0 0 0 0 0 0 0 0 X X X X 0 0 X X X 0 0 X 0 X 0 X 0 0 0 0 0 X
generates a code of length 30 over Z2[X]/(X^2) who´s minimum homogenous weight is 22.
Homogenous weight enumerator: w(x)=1x^0+42x^22+73x^24+140x^26+134x^28+216x^30+230x^32+76x^34+56x^36+30x^38+15x^40+8x^42+2x^44+1x^48
The gray image is a linear code over GF(2) with n=60, k=10 and d=22.
This code was found by Heurico 1.16 in 30.1 seconds.