The generator matrix

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

generates a code of length 15 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+18x^12+36x^13+13x^14+376x^15+13x^16+36x^17+18x^18+1x^30

The gray image is a code over GF(2) with n=120, k=9 and d=48.
This code was found by Heurico 1.16 in -3.24e-008 seconds.