The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+50x^20+76x^21+295x^22+404x^23+936x^24+1310x^25+2052x^26+1322x^27+946x^28+400x^29+264x^30+64x^31+51x^32+6x^33+8x^34+2x^35+5x^38

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 0.333 seconds.