The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+380x^30+1834x^31+4348x^32+9264x^33+15251x^34+20594x^35+26601x^36+22000x^37+15925x^38+8838x^39+3833x^40+1528x^41+415x^42+190x^43+47x^44+8x^45+11x^46+2x^48+2x^50

The gray image is a code over GF(2) with n=288, k=17 and d=120.
This code was found by Heurico 1.16 in 75.3 seconds.