The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+120x^22+132x^23+659x^24+668x^25+2849x^26+2676x^27+6596x^28+5324x^29+6676x^30+2700x^31+2845x^32+660x^33+566x^34+124x^35+132x^36+4x^37+28x^38+7x^40+1x^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 17.9 seconds.