The generator matrix

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

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+222x^12+128x^13+684x^14+384x^15+1283x^16+384x^17+648x^18+128x^19+218x^20+12x^22+4x^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.