The generator matrix

 1  0  1  1  1  2  1  1  2  1  6  1  0  1  1  1 12  1  8  1  2  1  1  1  2  6  8  0  1
 0  1  1  0  3  1 12  9  1 14  1 11  1  2  3  0  1 11  1  2  1  7 11  2 12  1  1  1  8
 0  0  2  0  6  0  2  8  6  6  2  4 10 14  0 12  8 14 14 12  0 10 10  4  2  2 12  4  0
 0  0  0  2  6  2  4 14  4 10  2  0  2 12 14 10 14 10  4  6  4  6  0  8  2  4  8 10  4
 0  0  0  0  8  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  8  0  8  0  8  8  8  0  0
 0  0  0  0  0  8  0  0  8  0  8  0  8  0  0  8  0  8  8  0  8  0  8  8  0  0  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+47x^22+264x^23+574x^24+1622x^25+2971x^26+8046x^27+11453x^28+15398x^29+11556x^30+8184x^31+3116x^32+1580x^33+388x^34+206x^35+87x^36+22x^37+13x^38+4x^39+1x^40+2x^41+1x^42

The gray image is a code over GF(2) with n=232, k=16 and d=88.
This code was found by Heurico 1.16 in 15.2 seconds.