The generator matrix

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

generates a code of length 16 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+173x^12+260x^13+488x^14+768x^15+730x^16+776x^17+488x^18+224x^19+151x^20+20x^21+16x^22+1x^24

The gray image is a code over GF(2) with n=64, k=12 and d=24.
This code was found by Heurico 1.16 in 0.184 seconds.