The generator matrix

 1  1  1  1  1  1  1  1  1  1  X  1  1  X  1  1
 0  X  0 X+2  0 X+2  2 X+2  0 X+2 X+2  2  X X+2  0  0
 0  0  2  0  0  0  2  0  0  2  2  0  2  0  2  0
 0  0  0  2  0  0  0  2  2  2  0  2  2  0  2  0
 0  0  0  0  2  2  2  2  2  0  0  2  0  0  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+10x^12+58x^14+122x^16+52x^18+9x^20+2x^22+1x^24+1x^28

The gray image is a code over GF(2) with n=64, k=8 and d=24.
This code was found by Heurico 1.16 in 0.00206 seconds.