The generator matrix

 1  0  1  1  1 X^2+X  1  1  2  1  1 X+2  1  1 X^2
 0  1 X+1 X^2+X X^2+3  1 X^2+X+1  2  1 X+2 X^2+1  1 X+1 X^2+X+3  2
 0  0 X^2  0 X^2+2  2 X^2 X^2+2 X^2  2  0  2  0  2 X^2
 0  0  0  2  0  2  2  2  0  2  2  0  0  0  0
 0  0  0  0  2  0  2  0  0  2  2  2  0  0  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+202x^12+384x^13+960x^14+1024x^15+951x^16+384x^17+160x^18+30x^20

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.