The generator matrix

 1  1  1  1  1  1  1  1  1  1  X  1  1  1  1
 0  2  0  0  0  0  0  2  0  2  2  0  0  2  2
 0  0  2  0  0  0  2  2  0  2  0  0  2  2  0
 0  0  0  2  0  0  2  0  0  2  2  2  2  0  0
 0  0  0  0  2  0  2  0  2  2  0  2  0  2  0
 0  0  0  0  0  2  2  0  2  0  2  0  0  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+27x^12+32x^14+384x^15+55x^16+12x^20+1x^28

The gray image is a code over GF(2) with n=120, k=9 and d=48.
This code was found by Heurico 1.16 in 0 seconds.