The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1 12  1  1  0  0  2  2  2  1  8  1  2  2  1  1  2  1
 0  2  0  0  0  8  4 12  4  2 10  6 12  6  2  2  2  4  8  2 14  0  4  6  4  4  2  0  8
 0  0  2  0  0  8 14  2 10  4  8  0  2  6  6 14 12 12  6 12 14  2  0  2 14  4  8 14  8
 0  0  0  2  0  2 10 10  8  4 10 14  4  4 10 14  6  6  8  0 14 14  0  6  6  2 14 12  8
 0  0  0  0  2  2  8  2  6  2  4  2  6  6  8  6 10  4 12 14 10  2  8  4  8 14 10  6  0

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

Homogenous weight enumerator: w(x)=1x^0+98x^22+524x^23+1125x^24+2014x^25+3897x^26+7282x^27+10926x^28+13508x^29+11126x^30+7542x^31+4036x^32+1966x^33+829x^34+374x^35+196x^36+64x^37+18x^38+6x^39+4x^40

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 22.6 seconds.