The generator matrix

 1  0  0  1  1  1 10  1 12  1  6  1  0  1 12  1  6  1  1 14  1 14 12  1  1 12  1  1  4  4  1  1  1
 0  1  0  4  5 11  1  2  1  4  0 15  1 15  6 15  1 10  9  1 12 10  1 14 11  1  9  0  1  1 12  2  0
 0  0  1  7  3  4  5  2  5  1  1  5  6  6  1  3  3  6  0  2  6  1  9  9 13  4 13  4  6 15 15  2  0
 0  0  0  8  0  0  0  0  0  0  8  8  8  0  8  8  8  8  8  0  8  0  8  0  8  8  8  0  8  0  8  0  0
 0  0  0  0  8  8  0  8  8  8  8  8  0  0  0  0  0  0  0  8  8  8  8  0  0  0  8  8  8  0  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+114x^28+560x^29+1159x^30+2200x^31+2701x^32+3018x^33+2795x^34+2094x^35+966x^36+516x^37+165x^38+52x^39+26x^40+2x^41+9x^42+6x^43

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 1.06 seconds.