The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+56x^26+246x^27+635x^28+1136x^29+1700x^30+2864x^31+3170x^32+2866x^33+1735x^34+1070x^35+529x^36+220x^37+87x^38+44x^39+17x^40+2x^41+5x^42+1x^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 1.26 seconds.