The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+48x^41+167x^42+482x^43+493x^44+1076x^45+1155x^46+1478x^47+1150x^48+992x^49+434x^50+452x^51+140x^52+52x^53+32x^54+16x^55+4x^56+8x^57+3x^58+2x^59+3x^60+1x^62+2x^63+1x^64

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 0.733 seconds.