The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+32x^24+84x^25+308x^26+496x^27+688x^28+888x^29+690x^30+496x^31+297x^32+84x^33+20x^34+4x^36+2x^38+2x^40+4x^42

The gray image is a code over GF(2) with n=232, k=12 and d=96.
This code was found by Heurico 1.16 in 0.0811 seconds.