The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  0  1
 0  1  3  6  5  1 12 15  1 10  9  1  0  6  3  5 12 10  3  5  0  6  8 10  2 14  1  1  0
 0  0  8  0  8  0  8  0  8  8  0  8  0  0  0  8  8  8  8  0  8  8  8  0  0  8  0  8  0
 0  0  0  8  8  8  8  0  0  0  8  8  8  0  8  0  0  8  8  0  8  0  0  0  8  8  8  8  0

generates a code of length 29 over Z16 who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+57x^26+140x^27+262x^28+104x^29+261x^30+140x^31+57x^32+1x^42+1x^46

The gray image is a code over GF(2) with n=232, k=10 and d=104.
This code was found by Heurico 1.16 in 0.0124 seconds.