The generator matrix

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

generates a code of length 33 over Z16 who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+53x^28+260x^29+574x^30+1004x^31+1445x^32+1632x^33+1419x^34+956x^35+526x^36+180x^37+49x^38+52x^39+22x^40+8x^41+5x^42+4x^43+1x^44+1x^46

The gray image is a code over GF(2) with n=264, k=13 and d=112.
This code was found by Heurico 1.16 in 0.352 seconds.