The generator matrix

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

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+218x^12+352x^13+940x^14+1088x^15+943x^16+352x^17+176x^18+22x^20+4x^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.