The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+162x^29+969x^30+3596x^31+7880x^32+18260x^33+30599x^34+44056x^35+49585x^36+46086x^37+30887x^38+18144x^39+7477x^40+2978x^41+1025x^42+312x^43+79x^44+32x^45+8x^46+4x^47+2x^48+2x^49

The gray image is a code over GF(2) with n=288, k=18 and d=116.
This code was found by Heurico 1.16 in 279 seconds.