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

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

Homogenous weight enumerator: w(x)=1x^0+180x^42+40x^43+234x^44+496x^45+240x^46+432x^47+198x^48+48x^49+116x^50+8x^51+46x^52+8x^54+1x^80

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 0.135 seconds.