The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2 12  2  0  1  1  8  1  1  0  2  1  4  2  1  2 12
 0  2  0  2  0  0  6 14  4  4 10  6  8  2 12  2  2  2  6  2 14 14  2  4  2  8  8  8  2  4  2 10  2
 0  0  2  2 12  6  6  4  4  2  6  0  0  6 14  4 10 14  0  8  2  2 12 14  8  2 14  0  2  2 10  6  6
 0  0  0  8  0  0  8  0  0  0  8  0  0  8  0  0  8  8  8  8  0  0  0  8  8  8  0  8  0  8  0  0  8
 0  0  0  0  8  0  8  0  8  8  0  8  0  8  8  8  0  8  8  8  0  0  8  0  0  0  8  0  0  0  8  8  8
 0  0  0  0  0  8  0  8  8  0  8  8  8  8  8  0  0  8  0  8  0  8  0  0  8  0  0  0  8  0  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+250x^28+232x^29+742x^30+632x^31+1631x^32+1392x^33+1494x^34+560x^35+752x^36+232x^37+194x^38+24x^39+48x^40+2x^42+6x^44

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 19.2 seconds.