The generator matrix

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

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+84x^12+168x^13+180x^14+192x^15+167x^16+136x^17+60x^18+16x^19+20x^20

The gray image is a linear code over GF(2) with n=60, k=10 and d=24.
This code was found by Heurico 1.16 in 0.00766 seconds.