The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+294x^42+120x^43+299x^44+48x^45+180x^46+24x^47+50x^48+6x^50+1x^60+1x^64

The gray image is a code over GF(2) with n=352, k=10 and d=168.
This code was found by Heurico 1.16 in 0.706 seconds.