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

generates a code of length 45 over Z16 who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+68x^42+52x^43+66x^44+676x^45+56x^46+28x^47+52x^48+12x^49+12x^50+1x^88

The gray image is a code over GF(2) with n=360, k=10 and d=168.
This code was found by Heurico 1.16 in 0.396 seconds.