The generator matrix

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

generates a code of length 29 over Z16 who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+49x^22+96x^23+157x^24+262x^25+442x^26+878x^27+1412x^28+1636x^29+1381x^30+886x^31+459x^32+248x^33+133x^34+58x^35+48x^36+28x^37+10x^38+2x^39+3x^40+2x^41+1x^42

The gray image is a code over GF(2) with n=232, k=13 and d=88.
This code was found by Heurico 1.16 in 0.573 seconds.