The generator matrix

 1  1  1  1  1  1  1  1  1  X  1 X^2  X  1  1
 0 X^2+2  0 X^2  0  2 X^2 X^2+2 X^2+2  2  0  0 X^2  2  0
 0  0 X^2+2 X^2  0 X^2 X^2  2 X^2 X^2  0 X^2+2 X^2+2  0  2
 0  0  0  2  0  0  0  0  0  2  2  2  2  2  0
 0  0  0  0  2  2  0  2  2  2  2  0  2  0  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+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 0.828 seconds.