The generator matrix

 1  0  1  1  1 X+2  1  1 2X+2  1  1  1  1  2  X
 0  1 X+1 X+2 2X+3  1 2X+2 X+3  1 3X 2X  1 X+1 2X X+2
 0  0  2  0 2X+2 2X 2X 2X+2 2X 2X  2 2X+2  0  2 2X
 0  0  0 2X 2X 2X  0  0  0 2X 2X  0 2X  0  0

generates a code of length 15 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+102x^12+208x^13+482x^14+464x^15+460x^16+272x^17+36x^18+16x^19+4x^20+2x^22+1x^24

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 0.015 seconds.