The generator matrix

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

generates a code of length 20 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 19.

Homogenous weight enumerator: w(x)=1x^0+60x^19+132x^20+60x^21+1x^22+1x^26+1x^32

The gray image is a code over GF(2) with n=160, k=8 and d=76.
This code was found by Heurico 1.16 in 3.62e-008 seconds.