The generator matrix

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

generates a code of length 47 over Z16 who´s minimum homogenous weight is 41.

Homogenous weight enumerator: w(x)=1x^0+94x^41+290x^42+302x^43+746x^44+766x^45+1322x^46+1260x^47+1342x^48+834x^49+553x^50+214x^51+262x^52+74x^53+63x^54+32x^55+15x^56+8x^57+11x^58+2x^60+1x^70

The gray image is a code over GF(2) with n=376, k=13 and d=164.
This code was found by Heurico 1.16 in 0.91 seconds.