The generator matrix

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

generates a code of length 26 over Z16 who´s minimum homogenous weight is 19.

Homogenous weight enumerator: w(x)=1x^0+88x^19+358x^20+956x^21+1627x^22+3680x^23+6669x^24+12050x^25+14335x^26+12368x^27+6887x^28+3738x^29+1537x^30+752x^31+284x^32+150x^33+37x^34+8x^35+7x^36+2x^37+2x^40

The gray image is a code over GF(2) with n=208, k=16 and d=76.
This code was found by Heurico 1.16 in 17.9 seconds.