The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+200x^12+424x^13+826x^14+1208x^15+835x^16+408x^17+164x^18+8x^19+20x^20+2x^22

The gray image is a code over GF(2) with n=120, k=12 and d=48.
This code was found by Heurico 1.16 in 0.031 seconds.