The generator matrix

 1  0  1  1  1 12  1  1 10  1  1  6  1  1  2  1  1  1  1  1  2  1  0 12  0  1  1  0  1
 0  1  1 12 11  1  2  7  1  6  5  1 13 15  1 10 15  2  8  3  2 14  0  1  1  5  9  0  0
 0  0  2  6  4  6  2  2  6  0  0  8  4  6  2  6  8  4 12 14  2  2  2  0  6  8 14  2  0
 0  0  0  8  0  0  0  8  8  8  8  8  0  8  0  0  8  0  8  8  0  0  0  8  0  8  0  8  0
 0  0  0  0  8  0  0  0  0  8  0  8  8  8  0  8  8  0  8  0  0  8  0  0  8  0  8  0  0
 0  0  0  0  0  8  0  0  8  0  0  0  8  8  8  0  8  0  8  8  0  8  8  8  0  0  0  8  0
 0  0  0  0  0  0  8  8  8  8  8  8  8  0  8  8  8  8  8  8  0  8  8  0  8  0  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+19x^22+112x^23+372x^24+780x^25+1890x^26+3824x^27+5450x^28+7932x^29+5311x^30+3920x^31+1948x^32+740x^33+321x^34+80x^35+33x^36+20x^37+10x^38+3x^40+1x^42+1x^44

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 4 seconds.