The generator matrix

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

generates a code of length 8 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+23x^4+112x^5+150x^6+784x^7+1951x^8+784x^9+164x^10+112x^11+9x^12+6x^14

The gray image is a code over GF(2) with n=64, k=12 and d=16.
This code was found by Heurico 1.16 in 1.05e-007 seconds.