The generator matrix

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

generates a code of length 8 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 5.

Homogenous weight enumerator: w(x)=1x^0+48x^5+196x^6+754x^7+2105x^8+750x^9+188x^10+46x^11+6x^12+2x^13

The gray image is a code over GF(2) with n=64, k=12 and d=20.
This code was found by Heurico 1.16 in 0.015 seconds.