The generator matrix

 1  0  0  0  1  1  1  4  1  2  1  0  1  1  0  6  2  6 14  1
 0  1  0  0  2  9  5  1  4  0  9  1 12  7  1  1  6  1  2  0
 0  0  1  0  3  1  6  7  3  1  1  5  6  4  1 10  1  1  1  0
 0  0  0  1  1  4  3  3  2  1  3  4  9  4  6  9 12  2 12  0
 0  0  0  0  4  8  0  8  0  8  4  4  4  4  8  4  0  0  4  0

generates a code of length 20 over Z16 who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+158x^14+1080x^15+3961x^16+11112x^17+27764x^18+53272x^19+67160x^20+53488x^21+28128x^22+11080x^23+3678x^24+1000x^25+204x^26+40x^27+16x^28+2x^30

The gray image is a code over GF(2) with n=160, k=18 and d=56.
This code was found by Heurico 1.16 in 120 seconds.