The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  8  1  1  1  1  2  0  1  1  2  1  8  1  2  1  0  1
 0  2  0  6  8  6  0 10  4 14 12  6  4  2  4  2  6  2  8  6 12 10 14  2  8  0 14  4  2  4  2 14  0 12
 0  0 12  0  8  4  4  4 12  4  8  0  4  4  0  0  4  4  0  8 12 12  4 12  4  8  0  4  8  4  4 12  4  8
 0  0  0 12 12  4 12  8  8  0 12  0 12  4  8  4  4  0 12  8  4  4  8 12  0  8  4  4  4  0  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+102x^30+108x^31+377x^32+200x^33+506x^34+248x^35+304x^36+72x^37+82x^38+12x^39+24x^40+6x^42+5x^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 0.0609 seconds.