The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0 12  0  4  0  8 12 12  0  4  4  8  4  4  8  8  8  8  4  8 12 12  0  4  0  8  0 12  0
 0  0 12  4  0  4  4  8  8  4  8 12 12  8  8  4  8 12 12  0  8 12 12  0  8  0  4 12  0
 0  0  0  8  8  8  0  8  8  0  0  8  8  8  0  0  8  0  0  0  0  8  8  8  0  8  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+9x^26+12x^27+22x^28+424x^29+22x^30+12x^31+9x^32+1x^58

The gray image is a code over GF(2) with n=232, k=9 and d=104.
This code was found by Heurico 1.16 in 0.0132 seconds.