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

generates a code of length 44 over Z16 who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+86x^42+116x^43+164x^44+56x^45+42x^46+20x^47+24x^48+2x^52+1x^64

The gray image is a code over GF(2) with n=352, k=9 and d=168.
This code was found by Heurico 1.16 in 0.0491 seconds.