The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+108x^41+225x^42+466x^43+546x^44+964x^45+1206x^46+1322x^47+1171x^48+1010x^49+428x^50+288x^51+179x^52+152x^53+58x^54+34x^55+20x^56+6x^57+3x^58+2x^59+2x^60+1x^68

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 0.879 seconds.