The generator matrix

 1  0  1  1  1 X^2+X  1  1 X^2+2  1  1  X  1  1  1
 0  1 X+1 X^2+X X^2+1  1 X^2+2 X^2+X+3  1 X+2  0 X^2+2 X^2+X  0  2
 0  0  2  0  2  0  0  2  0  0  2  2  2  0  2
 0  0  0  2  2  2  2  2  2  0  2  2  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+15x^12+96x^13+286x^14+232x^15+294x^16+80x^17+8x^18+8x^19+1x^20+2x^22+1x^24

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 0.016 seconds.