The generator matrix

 1  1  1  1  1  1  1  1  X  X  1  X  1  0 X^2
 0  X  0  0 X^2 X^2+X X^2+X X^2+X X^2  0  0 X^2+X  X X^2  0
 0  0  X  0 X^2+X X^2+X  X  0 X^2 X^2  0 X^2 X^2  X  X
 0  0  0  X  X X^2  X X^2+X X^2+X X^2+X X^2 X^2 X^2+X  0  X

generates a code of length 15 over Z2[X]/(X^3) who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+91x^12+24x^13+108x^14+80x^15+97x^16+24x^17+72x^18+11x^20+4x^22

The gray image is a linear code over GF(2) with n=60, k=9 and d=24.
This code was found by Heurico 1.16 in 0.0549 seconds.