The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+202x^42+572x^43+1294x^44+3100x^45+4704x^46+8428x^47+8600x^48+11540x^49+8917x^50+8668x^51+4485x^52+2980x^53+1221x^54+500x^55+189x^56+44x^57+53x^58+8x^59+17x^60+7x^62+6x^64

The gray image is a code over GF(2) with n=392, k=16 and d=168.
This code was found by Heurico 1.16 in 27.3 seconds.