The generator matrix

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

generates a code of length 49 over Z16 who´s minimum homogenous weight is 41.

Homogenous weight enumerator: w(x)=1x^0+54x^41+296x^42+574x^43+1115x^44+1600x^45+2364x^46+3512x^47+4557x^48+4884x^49+4311x^50+3684x^51+2306x^52+1502x^53+1057x^54+392x^55+300x^56+140x^57+65x^58+30x^59+7x^60+10x^61+3x^62+2x^64+2x^65

The gray image is a code over GF(2) with n=392, k=15 and d=164.
This code was found by Heurico 1.16 in 12.8 seconds.