The generator matrix

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

generates a code of length 26 over Z16 who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+54x^20+28x^21+360x^22+268x^23+1094x^24+1240x^25+2140x^26+1240x^27+1074x^28+268x^29+304x^30+28x^31+73x^32+12x^34+8x^36

The gray image is a code over GF(2) with n=208, k=13 and d=80.
This code was found by Heurico 1.16 in 0.39 seconds.