The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+151x^42+204x^43+877x^44+1340x^45+2553x^46+3932x^47+4622x^48+5556x^49+4761x^50+3820x^51+2409x^52+1252x^53+781x^54+228x^55+131x^56+44x^57+68x^58+8x^59+22x^60+6x^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 9.72 seconds.