The generator matrix

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

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+239x^4+1864x^5+12530x^6+60192x^7+112639x^8+59888x^9+12652x^10+1952x^11+177x^12+8x^13+2x^14

The gray image is a code over GF(2) with n=64, k=18 and d=16.
This code was found by Heurico 1.16 in 18.1 seconds.