The generator matrix

 1  1  1  1  1  1  1  1  2  1  0  1  1  2 12  1  1  1  1  1  2  8  2  4  2  2  2  2  1
 0  2 12  6  8 14  4 10  6  0  2  6 12 10  2 10  8  4 14  2 14  2  2  2  0 12  8  4  0

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

Homogenous weight enumerator: w(x)=1x^0+6x^28+108x^29+6x^30+1x^32+4x^33+2x^34

The gray image is a code over GF(2) with n=232, k=7 and d=112.
This code was found by Heurico 1.16 in 0.009 seconds.