The generator matrix

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

generates a code of length 20 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 17.

Homogenous weight enumerator: w(x)=1x^0+82x^17+192x^18+660x^19+195x^20+652x^21+181x^22+72x^23+3x^24+2x^25+2x^26+4x^27+1x^28+1x^30

The gray image is a code over GF(2) with n=160, k=11 and d=68.
This code was found by Heurico 1.16 in 0.015 seconds.