The generator matrix

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

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+255x^10+820x^11+1892x^12+4048x^13+6042x^14+6504x^15+6053x^16+4068x^17+1888x^18+804x^19+244x^20+72x^21+6x^22+2x^24+1x^26

The gray image is a linear code over GF(2) with n=60, k=15 and d=18.
This code was found by Heurico 1.16 in 3.74 seconds.