The generator matrix

 1  1  1  1  1  1  1  1  1  2  1  1  2  2  1  2  1  2  2  4  1  2  1  4  1  1
 0 12  0  0  0  4 12  4  0  8  0  4 12 12 12  4  4  4  0  8  8 12  4 12 12  0
 0  0 12  0  4  4 12  0  0  0  4  8  4  8  0  8  4 12  4  0  8  4  8 12 12  8
 0  0  0 12  4  0 12  4  0  4  4  4  4  8  8 12  8  8  4  4  0  4  4  4 12  0
 0  0  0  0  8  0  0  0  0  0  8  0  0  0  0  0  0  8  8  8  0  8  8  8  0  8
 0  0  0  0  0  8  0  0  0  8  8  8  0  0  0  0  8  8  0  0  8  8  8  8  8  8
 0  0  0  0  0  0  8  0  0  8  8  8  0  8  8  0  0  0  8  0  0  8  0  0  8  8
 0  0  0  0  0  0  0  8  0  0  0  8  8  0  8  0  8  8  8  8  0  0  8  0  0  8
 0  0  0  0  0  0  0  0  8  8  8  0  8  0  0  8  8  0  0  8  8  0  8  8  8  0

generates a code of length 26 over Z16 who´s minimum homogenous weight is 17.

Homogenous weight enumerator: w(x)=1x^0+18x^17+133x^18+166x^19+286x^20+418x^21+728x^22+1300x^23+2733x^24+6248x^25+8558x^26+6400x^27+2848x^28+1160x^29+724x^30+556x^31+249x^32+86x^33+85x^34+26x^35+26x^36+6x^37+12x^38+1x^40

The gray image is a code over GF(2) with n=208, k=15 and d=68.
This code was found by Heurico 1.16 in 6.45 seconds.