The generator matrix

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

generates a code of length 29 over Z16 who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+3x^28+50x^29+3x^30+6x^33+1x^34

The gray image is a code over GF(2) with n=232, k=6 and d=112.
This code was found by Heurico 1.16 in 0.0087 seconds.