The generator matrix
1 0 1 1 1 X^2+X 1 1 0 1 1 1 1 0 X
0 1 X+1 X^2+X 1 1 0 X+1 1 0 X^2+X X^2+1 X^2 1 0
0 0 X^2 0 0 X^2 X^2 0 0 X^2 0 X^2 0 X^2 0
0 0 0 X^2 0 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2
0 0 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 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+55x^12+32x^13+144x^14+64x^15+127x^16+32x^17+48x^18+8x^20+1x^28
The gray image is a linear code over GF(2) with n=60, k=9 and d=24.
This code was found by Heurico 1.16 in 0.00295 seconds.