The generator matrix

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

generates a code of length 36 over Z16 who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+340x^29+724x^30+1444x^31+2520x^32+4786x^33+6755x^34+10120x^35+11629x^36+10738x^37+7097x^38+4628x^39+2321x^40+1398x^41+573x^42+288x^43+99x^44+50x^45+19x^46+6x^48

The gray image is a code over GF(2) with n=288, k=16 and d=116.
This code was found by Heurico 1.16 in 64.4 seconds.