The generator matrix

 1  0  1  1  1 14  1  1  6  1  8  1  1  1  4 10  1  1 12  6  1  1  1  1  1  8  1  1  1
 0  1 11 14  5  1  0  3  1  6  1  9 13  4  1  1  7 10  1  1  5  2 12 15  6  1 13  5  3
 0  0 12  4  0  4 12  0  8  8 12  0  4  4  4  0  4  8  8  0  0  4  8  8  0  4 12  0  8
 0  0  0  8  0  0  0  0  8  0  0  8  8  0  0  0  8  8  0  8  8  8  0  0  8  8  8  0  8
 0  0  0  0  8  0  0  0  0  8  8  0  8  8  0  8  8  0  0  8  0  0  8  8  8  0  0  8  8
 0  0  0  0  0  8  0  0  0  0  8  0  0  0  8  0  8  8  8  8  0  8  8  8  8  0  8  8  8
 0  0  0  0  0  0  8  0  8  0  0  8  8  8  8  8  0  0  8  8  0  0  0  8  0  8  8  0  8
 0  0  0  0  0  0  0  8  0  8  8  8  8  8  8  0  0  8  8  8  0  8  0  0  8  8  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+92x^22+24x^23+346x^24+240x^25+2105x^26+3816x^27+6166x^28+7200x^29+6167x^30+3816x^31+2117x^32+240x^33+316x^34+24x^35+66x^36+20x^38+8x^40+3x^42+1x^46

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 35.5 seconds.