The generator matrix

 1  0  0  1  1  1 10  4 12  1  1  1  1  1 14 10  1  1  1  1
 0  1  0  4  5  1  1  1 10  2 15  3  4  8  1  2  3  1 13 12
 0  0  1  7  3  4  3  2  1 12  8  5  1 14  6  1 15  2  8 12

generates a code of length 20 over Z16 who´s minimum homogenous weight is 17.

Homogenous weight enumerator: w(x)=1x^0+128x^17+617x^18+746x^19+1299x^20+580x^21+469x^22+170x^23+76x^24+8x^25+2x^26

The gray image is a code over GF(2) with n=160, k=12 and d=68.
This code was found by Heurico 1.16 in 0.047 seconds.