The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+246x^22+104x^23+695x^24+736x^25+2372x^26+3232x^27+5900x^28+6112x^29+5904x^30+3400x^31+2425x^32+640x^33+656x^34+112x^35+180x^36+34x^38+15x^40+4x^42

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 43.3 seconds.