The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+26x^42+80x^43+100x^44+192x^45+294x^46+468x^47+610x^48+634x^49+680x^50+426x^51+202x^52+154x^53+67x^54+52x^55+35x^56+22x^57+15x^58+10x^59+12x^60+6x^61+5x^62+4x^63+1x^74

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 0.364 seconds.