The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+40x^17+89x^18+152x^19+285x^20+488x^21+676x^22+1104x^23+1816x^24+6352x^25+10646x^26+6464x^27+1798x^28+1168x^29+780x^30+432x^31+175x^32+136x^33+89x^34+40x^35+21x^36+8x^37+8x^38

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 6.03 seconds.