The generator matrix

 1  0  0  0  0  1  1  1  0  1  X  X  1  0  1
 0  1  0  0  0  0  0  X  X  1  1  1  1  1  X
 0  0  1  0  0  X  1 X+1  1  0  1  1  0  0  X
 0  0  0  1  0 X+1  1  0  1  X X+1  1  1  1  X
 0  0  0  0  1  1  X  1  1 X+1  X  0  X  1 X+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+36x^10+80x^11+83x^12+128x^13+140x^14+96x^15+135x^16+128x^17+76x^18+80x^19+36x^20+4x^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 0.0221 seconds.