The generator matrix

 1  0  1  1  1  6  1  1 10  1  1 12  1  1 12  1  1 10  1  1  1  1  0  6  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  8 14  2  1
 0  1  3  6  5  1 12 15  1 10  9  1  0  3  1  6  5  1 12 10 15  9  1  1  8 14  4  2 11 13  7  1  8 14  4  2 11 13  7  1  1  1  0  0
 0  0  8  8  0  8  8  0  0  0  8  8  8  0  0  0  8  8  0  8  8  0  8  0  8  0  0  8  8  0  0  8  0  8  8  0  0  8  8  0  8  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+46x^42+50x^43+286x^44+108x^45+16x^46+2x^47+1x^52+1x^54+1x^66

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 0.0308 seconds.