The generator matrix

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

generates a code of length 34 over Z16 who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+135x^30+64x^31+296x^32+320x^33+443x^34+320x^35+272x^36+64x^37+109x^38+15x^40+1x^42+7x^44+1x^52

The gray image is a code over GF(2) with n=272, k=11 and d=120.
This code was found by Heurico 1.16 in 0.0754 seconds.