The generator matrix

 1  0  1  1  1  0  1  1  1  1 X^2  1  1  1  1
 0  1  1  0 X+1  1  0 X+1 X^2+X X^2  1 X^2+1 X^2+X+1 X^2+1  1
 0  0  X  0  X  0  X  0 X^2 X^2+X  X  X  0  0  X
 0  0  0  X  X X^2+X  X  0  0 X^2  0  X X^2+X X^2  0
 0  0  0  0 X^2  0  0  0  0  0 X^2 X^2 X^2 X^2  0
 0  0  0  0  0 X^2  0  0 X^2 X^2 X^2 X^2  0  0 X^2
 0  0  0  0  0  0 X^2 X^2 X^2 X^2 X^2  0  0 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+28x^9+85x^10+176x^11+452x^12+908x^13+1504x^14+1856x^15+1525x^16+948x^17+450x^18+144x^19+68x^20+36x^21+8x^22+2x^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 0.287 seconds.