The generator matrix

 1  0  1  1  1  6  1  1  0  1  1  1  1  6  2  1  2  8  2  1
 0  1 11  6  1  1  0  3  1  6 13  3 14  1  6 11  4  1  1  8
 0  0 12  0  0  0  0  0 12  0 12  4  8 12  4  8 12  8  8  0
 0  0  0 12  0  0  4  0  0 12  4  8 12  8  4  4  0  4  8  4
 0  0  0  0  4  0  4  4  8  8 12 12  4 12 12  0  8  8  0  4
 0  0  0  0  0 12  8 12 12  4  0  0  4  0 12  8  8  8  4 12

generates a code of length 20 over Z16 who´s minimum homogenous weight is 13.

Homogenous weight enumerator: w(x)=1x^0+50x^13+159x^14+300x^15+673x^16+2232x^17+7356x^18+13800x^19+16352x^20+13816x^21+7410x^22+2236x^23+694x^24+272x^25+108x^26+48x^27+8x^28+14x^29+7x^30

The gray image is a code over GF(2) with n=160, k=16 and d=52.
This code was found by Heurico 1.16 in 8.2 seconds.