The generator matrix

 1  0  0  1  1  1 10  6  1  1  1  6  6  1  1  6 14  1  1 10  4  0  1  1  1  1  1  1  1 12 14  1  1 14 10  1  1  1  6  1  1  1  2 14  1  1  1
 0  1  0  0  5  7  1  1  8 13  5  1 14 14  2  1  1  7 10  4  1  6  3 12  7  0  3  0 15  1  1  9 14 12  4  9  8  6  1  3 15  6  1  2  5 10  4
 0  0  1  1  1  0  3  8  1  3 14  3  1  4  9 12  5 14 12  1  1  1  3  6  6 13 13  7 11 14  9  4  4  1  1  9  8 15  2 11  2 15  0  1  2  9  4
 0  0  0  2 10 10 14 10  4 12  0  8  2 10  4  4  8 14 12  2  2  4  0 10  0  6  2 14  4 14  6 14  0 12 14  8 12 12  2 14  8  0 12 12  4  2  0

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

Homogenous weight enumerator: w(x)=1x^0+90x^41+747x^42+1736x^43+2578x^44+3768x^45+4528x^46+5574x^47+5122x^48+4056x^49+2266x^50+1242x^51+624x^52+258x^53+108x^54+34x^55+19x^56+2x^57+7x^58+6x^59+2x^61

The gray image is a code over GF(2) with n=376, k=15 and d=164.
This code was found by Heurico 1.16 in 8.31 seconds.