The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+84x^26+420x^27+958x^28+2098x^29+3692x^30+5616x^31+6908x^32+5840x^33+3799x^34+2000x^35+784x^36+362x^37+130x^38+40x^39+21x^40+4x^41+7x^42+4x^43

The gray image is a code over GF(2) with n=256, k=15 and d=104.
This code was found by Heurico 1.16 in 5.01 seconds.