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

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

Homogenous weight enumerator: w(x)=1x^0+188x^41+640x^42+1208x^43+1892x^44+2768x^45+4618x^46+7126x^47+8913x^48+10808x^49+9146x^50+7010x^51+4630x^52+2852x^53+1731x^54+1020x^55+584x^56+252x^57+80x^58+34x^59+11x^60+12x^61+9x^62+2x^63+1x^68

The gray image is a code over GF(2) with n=392, k=16 and d=164.
This code was found by Heurico 1.16 in 47.9 seconds.