The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  0  1  1  1  6  1  1  1 10  1  1  1  1  1 12  6 10  4  0
 0  1  3  6  5  1 12 15  1 10  9  1  0  1  3  6  5  1 12 10  9  1  0 12 15  9  5  1  1  1  0  1
 0  0  8  0  0  0  0  0  0  8  8  0  8  0  0  0  8  8  8  0  8  8  0  8  8  8  8  0  0  8  0  8
 0  0  0  8  0  0  0  8  0  8  8  0  0  8  8  0  8  8  0  0  0  0  8  0  8  0  8  8  0  8  8  8
 0  0  0  0  8  0  0  0  8  0  8  0  8  8  8  8  8  0  8  0  0  8  8  8  0  0  8  0  0  0  0  0
 0  0  0  0  0  8  0  8  8  0  8  0  8  0  8  8  0  8  0  8  8  0  0  0  8  0  0  8  0  0  0  8
 0  0  0  0  0  0  8  8  0  8  0  8  8  8  8  8  8  8  8  8  0  0  0  0  8  8  0  0  0  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+26x^26+96x^27+134x^28+728x^29+747x^30+1736x^31+1273x^32+1744x^33+738x^34+720x^35+119x^36+88x^37+20x^38+8x^39+6x^40+4x^42+2x^44+1x^46+1x^52

The gray image is a code over GF(2) with n=256, k=13 and d=104.
This code was found by Heurico 1.16 in 0.44 seconds.