The generator matrix

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

generates a code of length 20 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 15.

Homogenous weight enumerator: w(x)=1x^0+224x^15+1676x^16+5460x^17+13638x^18+27614x^19+33466x^20+28066x^21+14017x^22+5116x^23+1397x^24+328x^25+56x^26+6x^27+4x^28+2x^29+1x^30

The gray image is a code over GF(2) with n=160, k=17 and d=60.
This code was found by Heurico 1.16 in 30.4 seconds.