The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+132x^28+112x^30+9x^32+2x^40

The gray image is a code over GF(2) with n=232, k=8 and d=112.
This code was found by Heurico 1.16 in 0.015 seconds.