The generator matrix

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

generates a code of length 32 over Z16 who´s minimum homogenous weight is 27.

Homogenous weight enumerator: w(x)=1x^0+516x^27+2144x^28+4390x^29+8235x^30+10470x^31+13460x^32+11264x^33+8586x^34+4048x^35+1698x^36+502x^37+169x^38+38x^39+9x^40+4x^41+2x^46

The gray image is a code over GF(2) with n=256, k=16 and d=108.
This code was found by Heurico 1.16 in 14.4 seconds.