The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+139x^42+904x^43+2519x^44+5912x^45+11506x^46+20004x^47+30198x^48+38404x^49+42827x^50+38290x^51+30551x^52+20666x^53+11176x^54+5454x^55+2310x^56+816x^57+294x^58+94x^59+48x^60+10x^61+8x^62+6x^63+5x^64+2x^66

The gray image is a code over GF(2) with n=400, k=18 and d=168.
This code was found by Heurico 1.16 in 432 seconds.