The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+38x^12+92x^13+89x^14+84x^15+91x^16+68x^17+30x^18+12x^19+6x^20+1x^22

The gray image is a code over GF(2) with n=60, k=9 and d=24.
This code was found by Heurico 1.16 in 0.00314 seconds.