The generator matrix

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

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+52x^6+96x^7+221x^8+96x^9+36x^10+10x^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 1.05e-007 seconds.