The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+153x^30+600x^31+1276x^32+2268x^33+3725x^34+5400x^35+5914x^36+5534x^37+3720x^38+2346x^39+1033x^40+416x^41+265x^42+68x^43+32x^44+6x^45+9x^46+2x^47

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 5.98 seconds.