The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+55x^24+138x^25+272x^26+478x^27+710x^28+868x^29+694x^30+424x^31+250x^32+106x^33+49x^34+22x^35+8x^36+8x^37+8x^38+4x^39+1x^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 0.142 seconds.