The generator matrix

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

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+34x^12+128x^13+168x^14+400x^15+140x^16+96x^17+32x^18+16x^19+8x^20+1x^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 6.87e-008 seconds.