The generator matrix

 1  0  0  1  1  1  4  8  1  1  1  1 12 14 14  1  6  1  2  1  1  4  1 14  8  1  1  1  1  1  8  1
 0  1  0  1 14 11  1  1  2  5  6  9  1 10  1 15  1  1 12  4  8  4  7  1  1  4 10 14 15  0  2  8
 0  0  1  1  5  4  7  4  4 10  1  7 15  1  4  6  1  6  1  1  8  1 11 11  4  9 10  8 14 15  4  0
 0  0  0  2 10  0  8  6 14  6  4  4  2 14 12  6  4 12  8  4  2  6  4  2 12 10  4 10  8 12 10 12
 0  0  0  0  8  8  8  0  8  0  0  8  0  8  8  8  0  0  8  8  0  0  0  0  0  8  8  0  0  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+134x^26+714x^27+1877x^28+4390x^29+7570x^30+11114x^31+13667x^32+11630x^33+7597x^34+4256x^35+1653x^36+602x^37+244x^38+58x^39+18x^40+2x^41+7x^42+2x^43

The gray image is a code over GF(2) with n=256, k=16 and d=104.
This code was found by Heurico 1.16 in 15.6 seconds.