The generator matrix

 1  0  1  1  1 3X+2  1  1  2  1  1  X  1  1  1
 0  1 X+1 3X+2 2X+3  1  2 X+3  1 3X  0  2 3X+2  0 2X
 0  0 2X  0 2X  0  0 2X  0  0 2X 2X 2X  0 2X
 0  0  0 2X 2X 2X 2X 2X 2X  0 2X 2X 2X 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+15x^12+96x^13+286x^14+232x^15+294x^16+80x^17+8x^18+8x^19+1x^20+2x^22+1x^24

The gray image is a code over GF(2) with n=120, k=10 and d=48.
This code was found by Heurico 1.16 in 3.62e-008 seconds.