The generator matrix

 1  1  1  1  X  X 2X+2  X
 0  2  0 2X+2 2X  2 2X+2  0
 0  0  2 2X+2 2X+2 2X  2  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+20x^6+68x^7+89x^8+56x^9+12x^10+4x^11+6x^12

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 -6.48e-008 seconds.