The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  X  2 3X+2  0 3X+2  2 3X  0 3X+2 2X X+2  2 2X+2  0
 0  0 2X  0  0 2X 2X 2X 2X  0 2X 2X  0 2X  0
 0  0  0 2X 2X 2X 2X  0 2X  0  0  0  0 2X  0

generates a code of length 15 over Z4[X]/(X^2+2X+2) 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 1.05e-007 seconds.