The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+215x^20+80x^21+466x^22+768x^23+1563x^24+3776x^25+2642x^26+3744x^27+1640x^28+752x^29+454x^30+96x^31+155x^32+22x^34+9x^36+1x^40

The gray image is a code over GF(2) with n=208, k=14 and d=80.
This code was found by Heurico 1.16 in 2.14 seconds.