The generator matrix

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

generates a code of length 34 over Z16 who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+18x^33+85x^34+18x^35+2x^37+2x^39+1x^42+1x^44

The gray image is a code over GF(2) with n=272, k=7 and d=132.
This code was found by Heurico 1.16 in 0.011 seconds.