The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  1  2  8  1 12  2  1  2  1  0  1  1  1  0  1  2  2  2  1  1  1  1  1  1  2  4  1  4
 0  2  0  6  4  6 12  2  8  0  6 14 12 12 10  2  0  2 10 14  2  4  2 14 12  2 14  2  2  4 10  2 12  6  2 14 14  2  0 12 12 10  8  0  0 12
 0  0 12  0  4  0  0  0  8  4  4  4  4  0 12 12  0  8  8  4  4  8  0  8  4  0  4 12  0  4  4  8  0  4  4 12  8  8  0 12  4  8  4  8  8  4
 0  0  0 12  0  0  8 12 12 12  4  8 12  4  8  4  0  8  8  0  8  4  8 12  4  4  8 12  0  8  4  0 12  4  8  8  8  0  4  4  4  0  4  4  8 12
 0  0  0  0  8  0  8  8  0  0  0  0  8  8  8  0  8  8  8  0  8  8  0  0  0  0  0  0  8  8  0  8  0  0  0  0  8  0  8  0  8  8  0  8  8  8
 0  0  0  0  0  8  0  0  0  0  0  8  0  0  8  8  8  0  8  8  0  8  8  0  8  8  0  8  0  8  0  8  0  0  8  0  8  8  0  0  8  0  8  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+198x^40+128x^41+526x^42+596x^43+951x^44+1084x^45+1320x^46+1080x^47+1002x^48+552x^49+388x^50+116x^51+122x^52+28x^53+56x^54+22x^56+14x^58+7x^60+1x^64

The gray image is a code over GF(2) with n=368, k=13 and d=160.
This code was found by Heurico 1.16 in 1.06 seconds.