The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+53x^20+278x^21+445x^22+958x^23+1908x^24+2582x^25+3928x^26+2646x^27+1894x^28+962x^29+378x^30+234x^31+75x^32+18x^33+16x^34+2x^35+5x^36+1x^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 1.5 seconds.