The generator matrix

 1  0  1  1  1  4  1  1  2 14  1  1  1  1 14  8 10  1  1  1  8  1  1  1  4 12
 0  1  1  0  3  1  2  5  1  1 14 15 11 10  1  1  1  4 11  5  4 15  8 12  1  2
 0  0  2  6  0  2  2  4  6  8  0  2  4  6 12  8  2  0 10  4  2 14  8  2 10  2
 0  0  0 12  0  8  8 12  4  4  4  4  0  0  8  4 12 12  8  4  0  4  0  4  0  4
 0  0  0  0  8  8  0  8  8  0  0  0  0  8  8  8  0  8  8  0  0  8  8  8  0  0

generates a code of length 26 over Z16 who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+70x^21+520x^22+732x^23+2056x^24+2750x^25+4092x^26+2892x^27+2056x^28+626x^29+432x^30+84x^31+47x^32+10x^33+12x^34+4x^35

The gray image is a code over GF(2) with n=208, k=14 and d=84.
This code was found by Heurico 1.16 in 1.07 seconds.