The generator matrix
1 1 1 1 1 1 1 1 1 1 1 0 1 1 X 1 1 1 1 1
0 X 0 X+2 2 3X+2 2X+2 X 0 2X X+2 X 2X+2 2X+2 3X+2 X X+2 3X 0 2X+2
0 0 2X+2 0 2 2 2X 2 0 2 0 2X 2 0 2X+2 2X+2 2 2X 2X 2X
0 0 0 2X 2X 0 2X 2X 2X 2X 0 0 0 0 2X 0 2X 2X 2X 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+48x^17+84x^18+220x^19+341x^20+196x^21+84x^22+36x^23+1x^24+12x^25+1x^36
The gray image is a code over GF(2) with n=160, k=10 and d=68.
This code was found by Heurico 1.16 in 0.016 seconds.