The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+85x^40+422x^41+743x^42+1422x^43+1689x^44+2560x^45+2453x^46+2948x^47+1674x^48+1186x^49+611x^50+306x^51+129x^52+84x^53+31x^54+24x^55+4x^56+4x^57+2x^58+4x^59+2x^60

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 2.33 seconds.