The generator matrix

 1  0  1  1  1 3X+2  X  1
 0  1 X+1 3X+2 2X+3  1  0  2
 0  0 2X  0 2X  0 2X  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+24x^6+128x^7+206x^8+128x^9+24x^10+1x^16

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 -6.48e-008 seconds.