The generator matrix

 1  1  1  1  1  1  1  1  X  X  1  X  1  X  X
 0  2  0  0 2X  2  2 2X+2 2X+2  2 2X 2X+2  0 2X  2
 0  0  2  0  2  2 2X+2 2X 2X+2 2X+2 2X  0  2  0  2
 0  0  0  2 2X+2 2X 2X+2 2X+2  0 2X  0 2X+2 2X+2 2X+2  2

generates a code of length 15 over Z4[X]/(X^2+2X+2) 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.