The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+57x^6+32x^7+333x^8+32x^9+54x^10+2x^12+1x^14

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.