The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  1  1  1  2  2  2  2  4  0  1  2  4  0  1  1  4  8  4  8
 0 12  0 12  8  4  8  4  0 12  0 12  8 12 12  8  4  4  0  8  4  4 12  4  0  8 12  4  0  8  4  4  4  4
 0  0  8  8  8  8  0  0  0  0  8  8  8  0  8  0  8  0  8  8  8  0  0  8  0  0  8  0  8  8  8  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+14x^33+102x^34+6x^36+1x^38+1x^40+2x^41+1x^46

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 0.0364 seconds.