The generator matrix

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

generates a code of length 15 over Z4[X]/(X^3+2,2X) 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 0.047 seconds.