The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  2  2  2  2  2  1  1  4  4  1  1  4  4  4  4  4  1
 0  8  0  0  0  8  8  8  0  0  0  8  0  8  8  0  0  8  8  0  8  8  8  0  0  0  8  0  8  8  0  8  8  0
 0  0  8  0  8  8  8  0  0  0  8  8  8  8  0  0  8  8  0  8  8  0  0  0  0  8  8  8  8  0  8  8  0  0
 0  0  0  8  8  0  8  8  0  8  8  0  0  8  8  8  8  0  0  0  8  8  0  0  8  8  0  0  8  8  0  0  0  8

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

Homogenous weight enumerator: w(x)=1x^0+28x^33+84x^34+6x^36+4x^38+1x^40+4x^41

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 0.0166 seconds.