The generator matrix

 1  0  1  1  1  6  1  1  8  1 14  1 12  1  1 10  1  1  1  4  1  4  1  1  1  6  1  8  1  1  1  1
 0  1 11  6 13  1 12  7  1 10  1  1  1  3  5  1  8 14 15  1  3  1  4  2 11  1  7  1 14  4 14 10
 0  0 12  0  4  0  0  4  4  8 12  4  8  0  0  8  4 12  0  4  8 12 12 12 12  8  4  4 12 12 12  0
 0  0  0  8  0  0  0  0  0  0  0  8  8  8  8  0  8  0  8  8  8  8  8  0  8  0  8  8  8  8  8  0
 0  0  0  0  8  0  0  8  8  0  0  0  0  0  8  8  8  0  8  8  8  0  8  8  8  8  8  0  0  8  0  0
 0  0  0  0  0  8  0  8  8  8  8  0  8  8  0  8  8  0  8  0  0  0  0  8  8  0  0  0  0  0  8  8
 0  0  0  0  0  0  8  0  0  8  0  0  0  8  8  0  8  8  0  8  0  8  8  8  8  8  0  0  0  0  8  0

generates a code of length 32 over Z16 who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+96x^26+88x^27+382x^28+1048x^29+1646x^30+3472x^31+2967x^32+3472x^33+1620x^34+1048x^35+336x^36+88x^37+80x^38+24x^40+12x^42+2x^44+2x^46

The gray image is a code over GF(2) with n=256, k=14 and d=104.
This code was found by Heurico 1.16 in 1.46 seconds.