The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+233x^28+248x^29+550x^30+928x^31+1361x^32+1732x^33+1102x^34+992x^35+651x^36+160x^37+138x^38+32x^39+49x^40+4x^41+2x^42+8x^44+1x^48

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 89.8 seconds.