The generator matrix

 1  1  1  1  1  1  1  1  X  X  1  X  1  X  X
 0 X^2+2  0  0  2 X^2+2 X^2+2 X^2 X^2 X^2+2  2 X^2  0  2 X^2+2
 0  0 X^2+2  0 X^2+2 X^2+2 X^2  2 X^2 X^2  2  0 X^2+2  0 X^2+2
 0  0  0 X^2+2 X^2  2 X^2 X^2  0  2  0 X^2 X^2 X^2 X^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+91x^12+24x^13+108x^14+592x^15+97x^16+24x^17+72x^18+11x^20+4x^22

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 0.203 seconds.