The generator matrix

 1  0  1  1  1 12  1  1  2  1  6  1  1  1  1  1  4 14  6 12  1  1  1  1  1  1
 0  1  1 12 11  1  2  5  1  6  1  7  3 13  3  0  1  1  1  1 14 15  9  1 13  5
 0  0  2  6  4  6  2  0 10  0  8  2  0  4  6 14  2  4  6  0  2  0  8  2 10 14
 0  0  0  8  0  0  0  8  8  0  0  8  8  8  0  8  0  0  0  8  8  0  8  8  0  8
 0  0  0  0  8  0  0  8  0  8  8  8  8  0  8  8  0  8  0  0  0  0  8  8  0  8
 0  0  0  0  0  8  0  0  8  8  8  8  8  0  0  8  8  0  0  0  8  8  8  0  0  8
 0  0  0  0  0  0  8  8  8  8  8  0  0  8  0  8  8  8  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+73x^20+296x^21+340x^22+1864x^23+3006x^24+8064x^25+5468x^26+8112x^27+2994x^28+1864x^29+332x^30+264x^31+55x^32+16x^33+4x^34+13x^36+2x^40

The gray image is a code over GF(2) with n=208, k=15 and d=80.
This code was found by Heurico 1.16 in 3.5 seconds.