The generator matrix
1 0 0 0 1 1 1 1 0 1 X 0 1 1 1
0 1 0 0 1 0 X X+1 1 0 1 1 1 X 1
0 0 1 0 1 0 X+1 0 X+1 1 X 1 X+1 X+1 0
0 0 0 1 1 1 X 0 1 1 X+1 X X 1 X+1
0 0 0 0 X 0 X X X X X 0 0 0 X
0 0 0 0 0 X 0 0 X X 0 X X 0 X
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+30x^10+80x^11+107x^12+120x^13+118x^14+112x^15+119x^16+128x^17+106x^18+64x^19+28x^20+8x^21+2x^22+1x^28
The gray image is a linear code over GF(2) with n=30, k=10 and d=10.
This code was found by Heurico 1.16 in 0.0132 seconds.