The generator matrix

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

generates a code of length 20 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+164x^18+272x^19+203x^20+224x^21+120x^22+16x^23+19x^24+4x^26+1x^28

The gray image is a code over GF(2) with n=160, k=10 and d=72.
This code was found by Heurico 1.16 in 0 seconds.