The generator matrix

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

generates a code of length 15 over Z2[X]/(X^2) who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+38x^10+80x^11+98x^12+96x^13+119x^14+160x^15+119x^16+96x^17+98x^18+80x^19+38x^20+1x^30

The gray image is a linear code over GF(2) with n=30, k=10 and d=10.
This code was found by Heurico 1.10 in 0 seconds.