The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+214x^30+268x^31+871x^32+876x^33+1990x^34+2536x^35+3089x^36+2280x^37+2052x^38+940x^39+755x^40+236x^41+174x^42+32x^43+47x^44+18x^46+5x^48

The gray image is a code over GF(2) with n=288, k=14 and d=120.
This code was found by Heurico 1.16 in 2.55 seconds.