The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+152x^30+56x^31+469x^32+368x^33+1172x^34+1112x^35+1621x^36+1120x^37+1092x^38+360x^39+432x^40+48x^41+124x^42+8x^43+34x^44+20x^46+2x^48+1x^52

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 22.9 seconds.