The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+213x^26+192x^27+430x^28+384x^29+440x^30+192x^31+173x^32+18x^34+2x^36+2x^40+1x^42

The gray image is a code over GF(2) with n=232, k=11 and d=104.
This code was found by Heurico 1.16 in 14.6 seconds.