The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+52x^26+196x^27+167x^28+262x^29+138x^30+120x^31+47x^32+14x^33+9x^34+16x^35+1x^40+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 0.0145 seconds.