The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+33x^30+318x^31+1241x^32+2378x^33+3895x^34+5240x^35+6630x^36+5334x^37+3873x^38+2248x^39+1088x^40+310x^41+109x^42+32x^43+14x^44+10x^45+10x^46+2x^47+2x^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 4.75 seconds.