The generator matrix

 1  0  1  1  1 14  1  1  0  1 14  1  0  1  1  1  1  6  1  8  8  1  1 14  1  1  1  4  1
 0  1 11  6  1  1  0  3  1 14  1  5  1 14 11  8 11  1 10  1  1  6 13  1  1 10  9  0  0
 0  0 12  0  0  0  0  0  0  8  8  4  4 12  8 12 12  4 12  8 12  0  4 12 12 12  4  0  0
 0  0  0 12  0  0 12  8 12  8  4  4 12  0 12 12  4  8  8  0  0  4  8  8  4  0  0  4  0
 0  0  0  0  4  4 12  8  4 12  0  8  8  0  8  4  4  4  4  8  0  4  0  0  4  4  4 12  8
 0  0  0  0  0  8  8  8  8  8  0  0  8  8  8  0  8  0  0  0  0  0  8  0  8  8  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+49x^22+124x^23+249x^24+808x^25+1955x^26+3744x^27+5866x^28+6992x^29+6168x^30+3856x^31+1737x^32+744x^33+293x^34+80x^35+50x^36+32x^37+14x^38+4x^39+1x^40+1x^46

The gray image is a code over GF(2) with n=232, k=15 and d=88.
This code was found by Heurico 1.16 in 4.55 seconds.