The generator matrix

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

generates a code of length 34 over Z16 who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+574x^32+384x^36+64x^40+1x^64

The gray image is a code over GF(2) with n=272, k=10 and d=128.
This code was found by Heurico 1.16 in 0.0448 seconds.