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.