The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+40x^24+52x^25+72x^26+108x^27+153x^28+1238x^29+151x^30+88x^31+49x^32+32x^33+25x^34+12x^35+13x^36+6x^37+7x^38+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 0.051 seconds.