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

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

Homogenous weight enumerator: w(x)=1x^0+139x^42+92x^43+261x^44+308x^45+510x^46+276x^47+229x^48+76x^49+102x^50+16x^51+37x^52+1x^82

The gray image is a code over GF(2) with n=368, k=11 and d=168.
This code was found by Heurico 1.16 in 0.107 seconds.