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.