The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  2  1  2  1  1  2  2  1  1  4  1
 0 12  0  4  0  0  4  4  8  8  4 12  0  8 12 12 12  4 12  0  4  0  4  8  4 12  8 12  0
 0  0 12  4  0 12 12  0  8  4  4  4  0  4  8  8  0  4  0  8 12  0  8  4 12  0  8  0  8
 0  0  0  8  0  0  8  0  0  0  0  0  8  8  0  0  8  8  8  8  8  8  8  8  8  8  0  0  8
 0  0  0  0  8  0  0  0  0  8  8  0  8  0  8  8  8  8  0  0  0  8  8  8  0  0  8  0  8
 0  0  0  0  0  8  8  8  8  8  8  8  8  8  8  0  8  8  0  8  8  0  8  8  0  8  0  8  0

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

Homogenous weight enumerator: w(x)=1x^0+43x^24+76x^25+64x^26+112x^27+410x^28+668x^29+413x^30+96x^31+43x^32+52x^33+32x^34+16x^35+14x^36+4x^37+2x^38+1x^40+1x^46

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 0.0511 seconds.