The generator matrix

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

generates a code of length 36 over Z16 who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+100x^30+80x^31+432x^32+392x^33+1038x^34+1316x^35+1552x^36+1312x^37+990x^38+424x^39+337x^40+56x^41+98x^42+4x^43+43x^44+14x^46+2x^48+1x^52

The gray image is a code over GF(2) with n=288, k=13 and d=120.
This code was found by Heurico 1.16 in 0.721 seconds.