The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  8  2  8  1  2  8  1  1  2  2  4  2  1  1  1  1  1
 0  2  0  2  0  0  2 10  6  4  0 14 12 10  2  4  2  0 14 14 14 12  8 14 14 14  6  0  0
 0  0  2  2  0 14  2  4  2  2  8  0  2  6 12  4  8  2 10 12  0  2  2  6 12  6  8  6  0
 0  0  0  4  0  0  0  0  0  0 12 12 12  8  8 12  0 12  4  8 12  0  8  8  4 12  8 12 12
 0  0  0  0 12  4  0  4  4  8 12  8  4  8  0  8 12  8  4  8  8  4  4  8  0  0 12  8  4
 0  0  0  0  0  8  8  0  8  8  8  8  0  8  8  0  8  8  8  8  0  0  8  0  8  8  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+58x^22+222x^23+564x^24+1056x^25+1746x^26+3398x^27+5789x^28+6972x^29+5828x^30+3600x^31+1878x^32+898x^33+426x^34+190x^35+83x^36+32x^37+6x^38+14x^39+5x^40+2x^41

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 6.39 seconds.