The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2 12  8  2  2  1  4  2  1  1  1 12  4  1  1  2  1  2  1
 0  2  0  2  0  8  2 10  8  2 12 14  0 10  4 14 10  2  2  2 14  8  2 12 10  6  6  8  2 12  6  4 10 14  2  8
 0  0  2  2 12 14  6 12  0  2 10 12  4 14 14  0 12 14 10 12  0  6  8  2 14  0  6 12  8  2  2  4 12 10 10  0
 0  0  0  4  0  0 12  8  4  8 12 12 12  8  4 12  0 12 12  8  4  4  4  8  8  0  0  8  8  4 12  0  4  0  8 12
 0  0  0  0  8  8  8  8  0  0  0  8  8  8  8  8  0  0  8  0  0  8  0  0  0  8  0  0  8  8  0  8  8  8  0  8

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

Homogenous weight enumerator: w(x)=1x^0+67x^30+134x^31+406x^32+510x^33+1021x^34+1262x^35+1436x^36+1342x^37+933x^38+456x^39+377x^40+114x^41+88x^42+14x^43+18x^44+2x^45+2x^46+6x^47+2x^48+1x^50

The gray image is a code over GF(2) with n=288, k=13 and d=120.
This code was found by Heurico 1.16 in 0.592 seconds.