The generator matrix

 1  0  1  1  1  4  1  1  6  1  1  2  1  1  1  1 12 10  1  1  2  4 10  1  8  1  6  1  1  1 12  1  1  2  6 10  1  1  2  1  1  1  1  8  0  1  1  1  1  1
 0  1  1  0  3  1  6  5  1  7  2  1 15  8  7 12  1  1  4 11  1  1  1  9  1  1  1 13 14  6  1  6  8  2  1  1  7 13  8  8 14 14  7  2  1 14 13  1  0  8
 0  0  2  6  0  2  0  8  0  2 14  2  6  4  4  2  0  8 12  4  6  6  2  6  0  8  4 14  0 12  6 10  6  2 12  4  8  6  2  4  2 10  8 10 10 12  0  6  4  4
 0  0  0 12  0  0  0  0  8  8  4  0  0  0  8 12  0  8  0  8 12 12  4  8 12  4 12  4 12  4  8 12  4  8 12  0  4  4  8  0  8  0 12  4  0 12  0 12  4  0
 0  0  0  0  8  0  0  8  0  0  0  0  0  0  8  0  0  0  0  8  8  8  8  0  8  0  8  8  0  0  8  8  8  8  0  8  8  0  0  8  0  8  0  8  8  0  0  8  8  8
 0  0  0  0  0  8  0  0  0  0  0  0  8  8  8  8  8  8  8  8  0  0  8  8  0  8  0  8  8  8  8  8  0  8  0  0  0  0  0  8  8  8  0  8  8  0  8  8  8  8
 0  0  0  0  0  0  8  8  8  8  8  8  8  0  0  0  0  8  8  8  0  8  8  0  0  0  8  0  8  0  0  8  8  0  8  0  8  0  0  0  8  8  8  0  0  0  8  8  8  0

generates a code of length 50 over Z16 who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+277x^42+168x^43+1095x^44+1032x^45+3260x^46+4256x^47+7500x^48+9868x^49+10563x^50+9912x^51+7639x^52+4340x^53+3164x^54+1008x^55+953x^56+116x^57+250x^58+16x^59+86x^60+4x^61+19x^62+6x^64+2x^66+1x^70

The gray image is a code over GF(2) with n=400, k=16 and d=168.
This code was found by Heurico 1.16 in 36.1 seconds.