The generator matrix

 1  0  1  1  1 X^2+2  1  1  X  1  1  1  X  1  1
 0  1  1 X^2 X+3  1 X+2  3  1 X^2+X+2  0  X  2  X  2
 0  0  X X+2 X^2 X^2+X X^2+X  2 X+2 X^2+2 X^2+2  0 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+33x^12+244x^13+430x^14+708x^15+338x^16+222x^17+55x^18+8x^19+4x^20+2x^21+3x^22

The gray image is a code over GF(2) with n=120, k=11 and d=48.
This code was found by Heurico 1.16 in -1.01e-007 seconds.