The generator matrix

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

generates a code of length 8 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+48x^6+108x^7+221x^8+72x^9+48x^10+12x^11+2x^12

The gray image is a code over GF(2) with n=64, k=9 and d=24.
This code was found by Heurico 1.16 in 0.015 seconds.