The generator matrix

 1  0  1  1  1 14  1  1  6  1  1  2  1  1  8  1  1  4  1  1 12  1  1 10  0  1  1  0  6  4  2  4  1  1
 0  1 11 14  5  1  8 13  1 12  9  1  6  3  1 10 15  1  4  7  1  2  1  1  0  0  6  2  1  1 14  2 13  5
 0  0 12  4  8 12  4 12  8  8  0  4  0  0  4  8  8 12  4 12  0  4 12  8  4  8  8  8  0  0  4  8  4 12

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

Homogenous weight enumerator: w(x)=1x^0+277x^32+216x^33+192x^34+88x^35+128x^36+72x^37+32x^38+8x^39+8x^40+2x^48

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 3.25 seconds.