The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+234x^30+328x^31+1259x^32+2016x^33+3994x^34+5200x^35+6409x^36+5664x^37+4164x^38+1800x^39+1079x^40+320x^41+194x^42+32x^43+47x^44+22x^46+5x^48

The gray image is a code over GF(2) with n=288, k=15 and d=120.
This code was found by Heurico 1.16 in 10.5 seconds.