The generator matrix

 1  0  0  1  1  1 10  2  1  1 12 10  1  1  1  1 10  4  8  1  6  1  2  6 12  6  1  1  1
 0  1  0  8  5 13  1  1 14 12  1  4 15 11  1  2 14  1  1 14  1 10  1  1 14  1  9 10  0
 0  0  1 11  3  8 15  2  4  5 11  1  8  1  9  5  1  6 13 14  5 15  4  1  1 15 10  1  4

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

Homogenous weight enumerator: w(x)=1x^0+192x^26+774x^27+836x^28+904x^29+510x^30+422x^31+254x^32+164x^33+25x^34+8x^35+5x^36+1x^38

The gray image is a code over GF(2) with n=232, k=12 and d=104.
This code was found by Heurico 1.16 in 0.0646 seconds.