The generator matrix

 1  0  1  1  1 14  1  1  8  1  1 12  2  6 10  8  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  1 11 14  5  1  8  3  1  6 13  1  1  1  1  1  4 10 12  2  2  0  0  2 12  7 12 13  0
 0  0 12  4  8 12  4  8 12  0 12  0  4  0  8  4  4  8  0 12  4  8 12  0 12  4  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+48x^26+172x^27+193x^28+202x^29+188x^30+168x^31+46x^32+2x^33+2x^34+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 0.016 seconds.