The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+242x^28+472x^29+1194x^30+1816x^31+3050x^32+3072x^33+2784x^34+1912x^35+1135x^36+384x^37+228x^38+16x^39+49x^40+8x^41+16x^42+3x^44+2x^46

The gray image is a code over GF(2) with n=264, k=14 and d=112.
This code was found by Heurico 1.16 in 1.43 seconds.