The generator matrix

 1  0  1  1  1  2  1  1  1  X  1  X  X  X  2
 0  1  1  0 X+1  1  1  0  2  1 X+1  1  1  X  1
 0  0  X  0  0  2  0 X+2 X+2  2  X  2  0  X  X
 0  0  0  X  2  X X+2 X+2  2 X+2 X+2  X  X  0  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+142x^12+64x^13+248x^14+128x^15+247x^16+64x^17+104x^18+26x^20

The gray image is a code over GF(2) with n=60, k=10 and d=24.
This code was found by Heurico 1.16 in 0.00916 seconds.