The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+146x^42+252x^43+850x^44+1308x^45+2716x^46+3492x^47+5048x^48+5192x^49+5092x^50+3668x^51+2635x^52+1180x^53+604x^54+236x^55+231x^56+32x^57+42x^58+31x^60+8x^62+4x^64

The gray image is a code over GF(2) with n=392, k=15 and d=168.
This code was found by Heurico 1.16 in 9.27 seconds.