The generator matrix

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

generates a code of length 29 over Z16 who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+40x^24+44x^25+47x^26+224x^27+557x^28+232x^29+557x^30+224x^31+38x^32+44x^33+30x^34+3x^36+3x^38+1x^40+2x^42+1x^50

The gray image is a code over GF(2) with n=232, k=11 and d=96.
This code was found by Heurico 1.16 in 0.0421 seconds.