The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  0  1  1  6  1  1  1  1  2  2  1  1
 0  1  3  6  5  1 12  7  1 10  9  1  0  3  1  6  5  1  0  3  0  3  0  0  0  0
 0  0  8  0  0  0  0  0  0  0  0  0  8  0  8  8  0  8  8  0  0  8  8  0  0  0
 0  0  0  8  0  0  0  0  0  0  0  0  0  0  8  0  8  8  8  8  8  8  8  8  0  0
 0  0  0  0  8  0  0  0  0  0  0  0  8  8  0  0  8  8  8  0  0  8  8  0  8  8
 0  0  0  0  0  8  0  0  0  0  0  8  0  8  0  8  0  8  8  0  0  8  0  8  8  8
 0  0  0  0  0  0  8  0  0  0  0  8  0  0  8  8  8  8  0  0  8  0  0  8  0  0
 0  0  0  0  0  0  0  8  0  0  8  0  0  0  0  8  8  8  8  0  8  0  8  0  0  0
 0  0  0  0  0  0  0  0  8  0  8  8  8  0  8  0  0  8  0  8  8  8  0  8  0  0
 0  0  0  0  0  0  0  0  0  8  8  8  8  8  0  0  0  0  8  8  0  8  0  0  0  0

generates a code of length 26 over Z16 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+74x^16+8x^17+72x^18+56x^19+503x^20+304x^21+1120x^22+2256x^23+6836x^24+15808x^25+11440x^26+15808x^27+6859x^28+2256x^29+1120x^30+304x^31+509x^32+56x^33+72x^34+8x^35+61x^36+4x^40+1x^44

The gray image is a code over GF(2) with n=208, k=16 and d=64.
This code was found by Heurico 1.16 in 8.24 seconds.