The generator matrix

 1  1  1  1  1  1  1  1  1  2  2  1  2  1  1  4  4  2  2  1  1  2  1  1  1  1
 0 12  0  4  0  0  4 12  0  0  4 12 12  8  4  8 12  8 12  8 12 12  4  4  0  0
 0  0 12  4  0 12  4  0  0 12 12  0  0  4 12  4  0  4  8  4  0  0  8 12  0  0
 0  0  0  8  0  0  0  0  0  0  8  8  0  0  8  0  0  0  8  8  8  8  0  0  0  0
 0  0  0  0  8  0  0  0  0  0  8  8  0  8  0  0  8  8  0  8  0  8  0  0  0  0
 0  0  0  0  0  8  0  0  0  0  0  0  0  8  0  8  8  0  8  8  0  8  8  0  0  0
 0  0  0  0  0  0  8  0  0  0  0  0  0  0  8  8  8  0  8  0  8  8  0  8  0  0
 0  0  0  0  0  0  0  8  0  0  0  8  0  0  0  8  8  8  0  0  8  8  8  0  0  0
 0  0  0  0  0  0  0  0  8  0  8  8  8  0  8  8  0  8  0  8  8  0  8  0  0  0
 0  0  0  0  0  0  0  0  0  8  0  0  8  8  8  0  0  8  0  8  8  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+148x^16+124x^18+592x^20+128x^21+1064x^22+640x^23+3558x^24+5376x^25+9432x^26+5376x^27+3696x^28+640x^29+1008x^30+128x^31+595x^32+140x^34+96x^36+8x^38+18x^40

The gray image is a code over GF(2) with n=208, k=15 and d=64.
This code was found by Heurico 1.16 in 4.79 seconds.