The generator matrix

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

generates a code of length 8 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+82x^4+316x^5+1501x^6+6184x^7+16557x^8+6272x^9+1474x^10+280x^11+96x^12+4x^13+1x^14

The gray image is a code over GF(2) with n=64, k=15 and d=16.
This code was found by Heurico 1.16 in 0.328 seconds.