The generator matrix

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

generates a code of length 22 over Z16 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+125x^16+292x^18+128x^19+379x^20+1920x^21+2500x^22+1920x^23+402x^24+128x^25+268x^26+114x^28+12x^30+3x^36

The gray image is a code over GF(2) with n=176, k=13 and d=64.
This code was found by Heurico 1.16 in 0.35 seconds.