The generator matrix

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

generates a code of length 49 over Z16 who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+89x^42+174x^44+24x^45+347x^46+384x^47+695x^48+720x^49+678x^50+384x^51+305x^52+24x^53+144x^54+103x^56+21x^58+1x^60+1x^62+1x^80

The gray image is a code over GF(2) with n=392, k=12 and d=168.
This code was found by Heurico 1.16 in 0.416 seconds.