The generator matrix

 1  0  1  1  1  6  1  1  0  1  1 14  1  1  0 14  1  6  2  1  1  1 12  1  1  8  1  2  1
 0  1 11  6  1  1  8  5  1  3  0  1 11  6  1  1 13  1  6  0  3 14  2 14 14  2 11 10  8
 0  0 12  0  0  0  0  0  0  0  0  8  8  4  4 12 12  4  4 12 12  8 12 12  0  8  8  8  8
 0  0  0 12  0  0  0  0  4  4 12 12 12 12  4  8 12  0  0  8  4  4 12  0 12  4  4 12  8
 0  0  0  0  4  0  8  4  0  4  8  8 12 12  4  4  8  4  8 12  0  4  0 12  8 12 12  8  4
 0  0  0  0  0 12 12  4 12  8 12  8 12  4 12  4 12  0 12  0  0 12  8 12  0 12  4 12  8

generates a code of length 29 over Z16 who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+34x^21+145x^22+336x^23+586x^24+1420x^25+3705x^26+7514x^27+11952x^28+14152x^29+11981x^30+7506x^31+3631x^32+1492x^33+631x^34+254x^35+115x^36+54x^37+18x^38+6x^39+2x^40+1x^52

The gray image is a code over GF(2) with n=232, k=16 and d=84.
This code was found by Heurico 1.16 in 16.6 seconds.