The generator matrix

 1  0  1  1  1 X+2  1  1  2  1  1  1 X+2  X  1  X
 0  1  1 X+2 X+3  1  2 X+1  1  X  3  0  1  1 X+3  X
 0  0  X  0 X+2  0  X  2 X+2  X  0  0  2  X X+2  X
 0  0  0  2  0  0  0  2  0  2  0  2  2  0  0  2
 0  0  0  0  2  0  0  0  2  2  2  2  0  0  2  0
 0  0  0  0  0  2  2  0  0  2  0  0  2  2  2  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+98x^12+96x^13+316x^14+288x^15+475x^16+288x^17+280x^18+96x^19+94x^20+12x^22+4x^24

The gray image is a code over GF(2) with n=64, k=11 and d=24.
This code was found by Heurico 1.16 in 0.0285 seconds.