The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+64x^22+280x^23+579x^24+1062x^25+2043x^26+3632x^27+5493x^28+6362x^29+5571x^30+3772x^31+2006x^32+1050x^33+505x^34+184x^35+111x^36+38x^37+9x^38+4x^39+2x^40

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 6.12 seconds.