The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0 12  0  0  0  4 12  4  8 12  8  0  0  4  4  4  4 12 12  0  0  8  0  8  8  4 12  8  0  4  4 12  0
 0  0 12  0  4  4  4  8  0  4  8  4 12  4  8  0  0  0 12  0 12  4  0  8  0  8 12 12  4 12  4  4 12
 0  0  0 12  4  0  4  4  8  0 12  4  8  4  0  4  4  4  4  4 12 12  4  8  0  0 12  0  8  8  8 12 12
 0  0  0  0  8  0  0  8  8  8  0  0  0  8  8  0  8  0  0  8  0  8  8  8  0  8  8  8  8  0  8  0  0
 0  0  0  0  0  8  0  0  0  0  8  0  8  8  8  0  8  8  0  0  8  8  8  8  8  0  0  0  8  0  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+248x^28+176x^30+358x^32+2560x^33+288x^34+264x^36+176x^38+24x^40+1x^64

The gray image is a code over GF(2) with n=264, k=12 and d=112.
This code was found by Heurico 1.16 in 8.13 seconds.