The generator matrix

 1  1  X  1  1  X  X  1
 0 2X+2 2X+2  0 2X+2 2X+2  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+2) who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+23x^4+16x^5+54x^6+48x^7+735x^8+48x^9+68x^10+16x^11+9x^12+6x^14

The gray image is a code over GF(2) with n=64, k=10 and d=16.
This code was found by Heurico 1.16 in 3.62e-008 seconds.