The generator matrix

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

generates a code of length 46 over Z16 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+305x^40+524x^41+820x^42+1188x^43+1566x^44+2816x^45+2148x^46+2784x^47+1526x^48+1160x^49+698x^50+364x^51+250x^52+104x^53+88x^54+16x^55+15x^56+4x^57+6x^58+1x^64

The gray image is a code over GF(2) with n=368, k=14 and d=160.
This code was found by Heurico 1.16 in 43.5 seconds.