The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+168x^20+112x^21+462x^22+904x^23+2346x^24+2056x^25+4320x^26+2064x^27+2322x^28+896x^29+440x^30+104x^31+149x^32+8x^33+24x^34+6x^36+2x^38

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 1.41 seconds.