The generator matrix

 1  0  1  1  1  8  1  1 14  1  6  1 14  8  1  1  1  1  1  1  1  1  2  2  4  1  4  2  1  8  2 12  1  1  1  4  8  1  1
 0  1  1  4  3  1  2  9  1  6  1  7  1  1  6  7  0  9 12 11 10  1  1  1  1  2  1  6 12  1  1  1  6  5  4  1  8  6  0
 0  0  2 10  8 10 10  8 10  0  0  2 12  4 12 14 12 14  6  4 14 12  2 14 10  4 14  6  0 14  4  0 14  8 14  4  2  2 14

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

Homogenous weight enumerator: w(x)=1x^0+138x^36+476x^37+299x^38+382x^39+239x^40+312x^41+79x^42+70x^43+25x^44+8x^45+14x^46+4x^48+1x^56

The gray image is a code over GF(2) with n=312, k=11 and d=144.
This code was found by Heurico 1.16 in 0.047 seconds.