The generator matrix

 1  0  1  1  1 X+2  1  1  0  1  1  1  1 X+2  1
 0  1 X+1 X+2  3  1  0 X+1  1 X+2  0  2  3  1  0
 0  0  2  0  2  0  0  2  0  0  2  2  0  2  0
 0  0  0  2  2  2  2  2  2  0  2  0  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+18x^12+48x^13+13x^14+96x^15+13x^16+48x^17+16x^18+3x^22

The gray image is a code over GF(2) with n=60, k=8 and d=24.
This code was found by Heurico 1.16 in 0.00199 seconds.