The generator matrix

 1  0  0  0  1  1  1  4  1  2 12  1  1  2  1 14  1  6  6  1  1 12  8  1  1  8  1  1  1
 0  1  0  0  2  9  5  1  0  4  1  5  3  1 12  1 14  1 14  4 11 14  6  3  9  1  6  6  0
 0  0  1  0  3  1  6  7  3  1 11 15  6  8  2  5  2 10  1  8  7 14  1  7  3  0  6  1  0
 0  0  0  1  1  4  3  3 14  5  2  9  2  7  5 11  2  9  1  5 11  1 11 13  4  8 12  5  0
 0  0  0  0  4  8  0  8  8  0  0  8  4 12  4  4 12  8 12 12  0 12  8 12  0 12  8  4  0

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

Homogenous weight enumerator: w(x)=1x^0+80x^22+628x^23+2662x^24+6418x^25+16198x^26+29550x^27+48004x^28+54174x^29+49134x^30+29914x^31+15983x^32+6110x^33+2386x^34+642x^35+196x^36+50x^37+10x^38+2x^39+2x^40

The gray image is a code over GF(2) with n=232, k=18 and d=88.
This code was found by Heurico 1.16 in 199 seconds.