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

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

Homogenous weight enumerator: w(x)=1x^0+18x^42+38x^43+41x^44+220x^45+402x^46+224x^47+21x^48+20x^49+27x^50+10x^51+1x^52+1x^90

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 0.0598 seconds.