The generator matrix

 1  0  0  0  0  1  1  1 X^2  1  X X^2+X X^2+X  1  1
 0  1  0  0  0  0 X^2 X+1  X X+1  1  X X^2+X X^2+1 X^2+X
 0  0  1  0  0  X  1  1  1 X^2+1  0  0  1 X^2+X+1 X^2
 0  0  0  1  0 X+1  1  X X^2+1 X^2+X+1 X+1  1 X^2 X^2+1  0
 0  0  0  0  1  1  X X+1  1  1 X^2+X X^2+X+1 X^2+1 X^2+X  1
 0  0  0  0  0 X^2  0 X^2 X^2  0 X^2  0 X^2 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+100x^9+534x^10+1774x^11+3832x^12+7716x^13+12034x^14+13566x^15+11917x^16+7804x^17+3994x^18+1674x^19+440x^20+124x^21+14x^22+10x^23+2x^24

The gray image is a linear code over GF(2) with n=60, k=16 and d=18.
This code was found by Heurico 1.13 in 4 seconds.