The generator matrix

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

generates a code of length 29 over Z16 who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+16x^29+9x^30+4x^31+1x^34+1x^36

The gray image is a code over GF(2) with n=232, k=5 and d=116.
This code was found by Heurico 1.16 in 0.00863 seconds.