The generator matrix

 1  0  0  1  1  1  2  4  1  1  0 14  1  1  1  4  1 14  2  1  1  6  1  1  1  1 12  0  2  4  1  1
 0  1  0  2  1 11  1  6  9 14  1  1 15  6  7  1  8  1 10  4  5  1  1  0 15  2  1 14  1  1  8 14
 0  0  1  1  3  4  5  1  2  6  9  0  5  3 14  2  6 15  1  3  0  5 13 10  7  2  1  1  7  9  5  1
 0  0  0  4  0  0 12 12 12  4  8  4 12 12  8 12  8  0  0  4 12  4 12 12 12  0  0  8 12  4  8  4
 0  0  0  0  4  8  8  8  0  8  0  0  4  4  8 12 12  0  4  8 12  4  4  8  0  4 12 12  0  8  4 12

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

Homogenous weight enumerator: w(x)=1x^0+172x^26+540x^27+2118x^28+3404x^29+8946x^30+9796x^31+15451x^32+9976x^33+9010x^34+3492x^35+1936x^36+412x^37+198x^38+28x^39+44x^40+10x^42+2x^44

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 15.9 seconds.