The generator matrix

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

generates a code of length 48 over Z16 who´s minimum homogenous weight is 41.

Homogenous weight enumerator: w(x)=1x^0+34x^41+131x^42+212x^43+378x^44+706x^45+887x^46+1138x^47+1383x^48+1098x^49+858x^50+652x^51+277x^52+190x^53+120x^54+36x^55+36x^56+20x^57+15x^58+8x^59+4x^60+5x^62+2x^63+1x^68

The gray image is a code over GF(2) with n=384, k=13 and d=164.
This code was found by Heurico 1.16 in 0.984 seconds.