The generator matrix

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

generates a code of length 15 over Z2[X]/(X^3) who´s minimum homogenous weight is 9.

Homogenous weight enumerator: w(x)=1x^0+68x^9+177x^10+248x^11+539x^12+852x^13+1306x^14+1720x^15+1366x^16+940x^17+570x^18+200x^19+109x^20+60x^21+26x^22+8x^23+1x^24+1x^26

The gray image is a linear code over GF(2) with n=60, k=13 and d=18.
This code was found by Heurico 1.16 in 3.34 seconds.