The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  2 12  1  1  1  2  4  1  1  2  1  1  1  1  2  4
 0  2  0  2  0  0 14 14  4  6  2  4  8 10 12  0  6  2 10  2 14 10  2 10  4  4  8 12  8 14 12 12
 0  0  2  2 12  6  6  4  4  0  6 10 14  2 10  4  8  6  0  6  6 14 12  4  2 14 12  4  2  4  4 12
 0  0  0  4  0  0  4  8  0  0 12  8  0  4  0  8  0  8  0  4  4  8  0  4 12  8  4 12  4  4 12  4
 0  0  0  0  8  0  0  0  0  8  8  8  8  8  8  8  0  8  8  8  8  0  8  0  8  0  8  8  8  0  0  8
 0  0  0  0  0  8  8  8  8  8  0  8  0  8  0  8  8  8  0  8  8  0  8  8  8  0  0  8  8  0  8  8

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

Homogenous weight enumerator: w(x)=1x^0+205x^26+280x^27+527x^28+944x^29+1810x^30+2840x^31+3140x^32+2944x^33+1824x^34+936x^35+454x^36+208x^37+182x^38+40x^39+34x^40+11x^42+3x^44+1x^48

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 75.3 seconds.