The generator matrix

 1  1  1  1  1  1  X  0  1  1  X  1  1  1  1
 0  X  0 3X+2 2X+2 X+2 3X+2  X  2  X 2X  0 X+2  2  0
 0  0  2  0 2X+2 2X+2 2X 2X  0  2 2X+2  0  2 2X 2X
 0  0  0 2X 2X  0  0 2X 2X 2X 2X 2X 2X  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+38x^12+80x^13+217x^14+364x^15+226x^16+56x^17+20x^18+12x^19+6x^20+3x^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 -1.01e-007 seconds.