The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  2  0 12  2 12  4  1  1  1  1  4  2  1  8  2
 0  2  0  2  0  0  6 14  0 12  6  8  2  2  4  2  2  8  4 14  2  8  2 10  4 10
 0  0  2  2  0 14  6  0  4  2  0  6  8  6  2  4  6  4 14  2  4  2  2  6  2  2
 0  0  0  4 12  4  0  4 12  4  8  4  8  8  0 12 12  0  8  0  8  4  0  8  0  4
 0  0  0  0  8  0  0  0  0  0  0  8  8  0  0  8  0  8  8  0  8  0  8  8  0  8
 0  0  0  0  0  8  0  0  0  0  0  8  0  8  8  0  0  8  8  0  8  8  0  8  8  0
 0  0  0  0  0  0  8  0  8  8  8  8  8  8  8  8  8  8  8  0  8  8  8  0  0  0

generates a code of length 26 over Z16 who´s minimum homogenous weight is 19.

Homogenous weight enumerator: w(x)=1x^0+46x^19+180x^20+356x^21+1215x^22+1356x^23+5090x^24+3340x^25+9530x^26+3392x^27+5187x^28+1372x^29+1136x^30+324x^31+157x^32+52x^33+22x^34+2x^35+8x^36+1x^38+1x^44

The gray image is a code over GF(2) with n=208, k=15 and d=76.
This code was found by Heurico 1.16 in 4.98 seconds.