The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+98x^42+328x^43+894x^44+1248x^45+2966x^46+3296x^47+5272x^48+4612x^49+5422x^50+3308x^51+2799x^52+1240x^53+772x^54+232x^55+133x^56+68x^57+44x^58+4x^59+19x^60+10x^62+2x^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 9.28 seconds.