The generator matrix

 1  1  1  1  1  1  1  1  1  1  2  0  2  1 12  8  1  2  1  2  1  2  2  2  0  2
 0  2  0  6  4 14 12  2  0  6  6  2 14 14  2  2  2 10 10  2 12  8  2 14  2  0
 0  0 12  0  4  4  0  4  0  8  0  8  4  4  0  4 12  0  8 12  8  4  4  4  8  0
 0  0  0  8  0  0  0  0  0  8  0  0  8  8  8  0  8  0  8  0  0  8  8  8  0  0
 0  0  0  0  8  0  0  8  8  8  8  8  8  8  8  8  0  0  0  0  8  8  0  0  0  0
 0  0  0  0  0  8  0  8  0  0  0  0  0  8  8  0  8  8  8  8  8  0  0  8  0  0
 0  0  0  0  0  0  8  0  0  0  8  0  8  8  0  8  0  8  8  8  0  0  8  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+96x^20+32x^21+300x^22+480x^23+954x^24+1536x^25+1400x^26+1536x^27+970x^28+480x^29+268x^30+32x^31+85x^32+16x^34+6x^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 0.38 seconds.