The generator matrix

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

generates a code of length 39 over Z16 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+16x^36+44x^37+156x^38+80x^39+143x^40+60x^41+3x^42+8x^43+1x^66

The gray image is a code over GF(2) with n=312, k=9 and d=144.
This code was found by Heurico 1.16 in 0.0327 seconds.