The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+32x^30+40x^31+218x^32+232x^33+294x^34+1008x^35+464x^36+1008x^37+284x^38+232x^39+207x^40+40x^41+24x^42+4x^46+5x^48+2x^50+1x^56

The gray image is a code over GF(2) with n=288, k=12 and d=120.
This code was found by Heurico 1.16 in 0.251 seconds.