The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  2  0  1  1  2  1  1 12  1  1  1  2  0  1  2  0  2
 0  2 12  6  0  6 12 10  0  6 12  4  6  2 10 10 10  0  0  2  6  8 10  6  2  0  6  2  6
 0  0  8  0  0  0  0  8  0  0  8  0  8  8  0  8  8  0  8  0  0  8  0  0  8  0  8  0  8
 0  0  0  8  0  0  0  8  0  8  8  8  0  8  0  8  0  0  8  0  8  8  8  8  0  8  8  0  0
 0  0  0  0  8  0  0  8  8  0  0  0  8  8  8  0  8  8  0  8  0  0  8  0  0  0  8  8  0
 0  0  0  0  0  8  0  8  0  8  0  0  8  0  0  8  0  8  8  8  0  8  0  8  0  0  8  8  0
 0  0  0  0  0  0  8  8  8  0  8  0  0  8  8  0  0  0  0  8  8  8  0  8  0  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+110x^24+64x^25+276x^26+384x^27+1036x^28+384x^29+1000x^30+384x^31+301x^32+64x^33+68x^34+18x^36+4x^40+2x^44

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 0.349 seconds.