The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2 12  2 12  0  1  1  1  1  0  1  4  1  2  1  1  1  1  2 12  1  8  2  2  1  1  1  1  1
 0  2  0  2  0  0  2 10  4  4 14  6 12 12  6  6  8  6  6  0 10  2  6  4  2 12  6 14  2  2  8  4  8 10  4  4 14 10  4  2  4  2  4  2  4  8  8  8  0
 0  0  2  2 12  6  6 12  4  2  6  0 14  0 10  4  8  2  0 14  2  2  0  2  4  4  6  0 14 14  6  2 12  6 14  6  8 12 12 12  4 14  2  4  6  8  8  8  0
 0  0  0  4  0  0  4  0  0  8  4  8  8  0  4  8  8 12  0  8  4  4  0 12 12  4  0 12  8  8  4  0  4  0  0  4  4  8  4 12 12 12  0  8  4  0  0  8  0
 0  0  0  0  8  0  0  0  8  0  8  8  8  8  0  0  0  8  8  8  8  8  0  0  8  0  0  8  8  8  8  0  0  0  8  0  8  0  0  0  8  8  0  0  0  8  8  8  0
 0  0  0  0  0  8  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  0  8  0  8  8  0  8  8  0  0  8  0  0  0  8  0  8  8  8  0  8  0  8  0  8  0  0  0
 0  0  0  0  0  0  8  8  8  8  8  0  8  8  0  8  8  0  0  8  8  0  0  0  0  8  0  8  0  0  8  8  0  0  0  0  8  0  0  8  8  0  8  8  8  0  8  8  0

generates a code of length 49 over Z16 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+83x^40+76x^41+472x^42+316x^43+943x^44+984x^45+2802x^46+2716x^47+5846x^48+4040x^49+6316x^50+2812x^51+2509x^52+984x^53+946x^54+292x^55+370x^56+60x^57+138x^58+8x^59+35x^60+12x^62+3x^64+2x^66+1x^68+1x^72

The gray image is a code over GF(2) with n=392, k=15 and d=160.
This code was found by Heurico 1.16 in 13.2 seconds.