The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  X  X  X
 0  2  0 2X+2  0 2X  2  2  0 2X+2 2X  2 2X  2 2X+2
 0  0  2 2X+2  0 2X+2 2X+2 2X 2X 2X+2  0  2 2X+2  0 2X+2
 0  0  0 2X 2X 2X  0 2X 2X  0 2X  0  0  0  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+29x^12+24x^13+36x^14+336x^15+30x^16+24x^17+28x^18+3x^20+1x^24

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 0.015 seconds.