The generator matrix

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

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+68x^12+32x^13+258x^14+320x^15+253x^16+32x^17+44x^18+12x^20+2x^22+2x^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 0.843 seconds.