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  1  1  1  1  1  1  1  1  1  2  2  1
 0 12  0  4  0  0  4 12 12 12  0  8  0  8 12 12  0  4  4  8  0 12  8 12  4  4  8  8  0  4  4  8 12 12  0  0  4  8  8  0  4  4  0  4  8  8
 0  0 12  4  0 12  4  0  8 12  8 12  0  4  4  0  0 12  8  4  4  8  0  4 12  8  8 12 12  4  0  4  4  8  8  8 12  0  0 12  0  0  4  4  4  4
 0  0  0  8  0  0  8  8  8  0  8  8  8  8  0  0  8  0  8  0  0  8  8  8  8  0  0  8  8  0  0  0  0  0  0  8  8  0  8  8  8  0  8  0  0  8
 0  0  0  0  8  8  8  8  0  0  0  0  8  8  8  8  0  8  0  8  0  8  8  0  8  8  0  8  0  0  0  0  0  0  8  8  0  0  0  8  8  8  8  8  8  0

generates a code of length 46 over Z16 who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+42x^42+81x^44+64x^45+652x^46+64x^47+82x^48+26x^50+11x^52+1x^88

The gray image is a code over GF(2) with n=368, k=10 and d=168.
This code was found by Heurico 1.16 in 0.102 seconds.