The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+96x^40+302x^41+845x^42+1238x^43+1831x^44+2584x^45+2670x^46+2600x^47+1956x^48+1160x^49+591x^50+240x^51+137x^52+48x^53+53x^54+16x^55+7x^56+2x^57+2x^59+4x^60+1x^62

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 2.14 seconds.