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

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

Homogenous weight enumerator: w(x)=1x^0+50x^42+16x^43+94x^44+48x^45+626x^46+48x^47+83x^48+16x^49+22x^50+9x^52+6x^54+4x^56+1x^84

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 21.1 seconds.