The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  2  1  8  2  1  1 12  2  1  1  1  1  0  1  1  1  2  1 12  8  1
 0  2  0  6  4  6 12  2  8  0  6  6  4  4  2  6 10  2  6 10  0  2 10  2 14  2  8  2  0  6 12 14  4  2  4  6
 0  0 12  0  4  0  0  0  8  4  4 12  8 12  4 12  4  4  8 12  4  4  0  4  4  4  4  8  8 12  0  0  4 12  0  8
 0  0  0 12  0  0  8 12 12 12 12  8  4 12 12  4  4  8  0  4  4 12  8  0  8  0  8  8 12  4  4  4  4 12  4  0
 0  0  0  0  8  0  8  8  0  0  8  0  8  8  8  0  0  0  8  8  8  0  0  0  8  8  8  0  0  8  8  0  0  0  0  0
 0  0  0  0  0  8  0  0  0  0  8  8  0  0  8  8  8  0  8  0  8  0  0  0  8  0  0  8  8  0  8  8  8  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+107x^30+60x^31+425x^32+508x^33+1083x^34+1224x^35+1475x^36+1224x^37+1011x^38+508x^39+352x^40+60x^41+93x^42+40x^44+10x^46+10x^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 0.718 seconds.