The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+296x^21+468x^22+930x^23+1253x^24+3404x^25+3728x^26+3358x^27+1312x^28+944x^29+340x^30+254x^31+57x^32+28x^33+8x^34+2x^35+1x^40

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 58.9 seconds.