The generator matrix

 1  0  1  1  1  6  1 12  1 10  1  1  1  1 14  1  8  1  1  4  1  6  4  1  1  1  1  1  2  1  8 10  0  6  1  1  1  1  1  1  4  1  1  4  1  1
 0  1 11  6 13  1 12  1  3  1 10  5  7  8  1  1  1 14 15  1  4  1  1 13  6  8  9  2  1  4  1  1  1  1 11  6  0 12  5 15  2 15 13  4  3  0
 0  0 12  0  4  0  0  8  0  8  0  8 12  4  4 12 12 12  0  4  4  8 12  4  8 12  0 12 12  4 12  8  0  8  4  0  8  8  8  8 12  0 12 12  8  0
 0  0  0  8  0  0  8  0  0  8  8  8  8  0  0  8  0  8  0  8  8  8  0  0  0  8  0  8  0  0  8  8  8  0  0  0  8  0  0  8  0  8  0  0  8  0
 0  0  0  0  8  0  8  8  8  0  0  0  8  0  8  0  0  0  8  0  0  8  0  0  8  8  8  8  8  8  8  0  0  8  8  0  0  8  0  8  0  0  0  8  0  0
 0  0  0  0  0  8  0  8  8  8  8  0  8  0  8  8  0  0  0  8  8  0  8  8  8  0  0  8  0  0  8  0  8  0  8  8  8  0  8  0  0  0  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+46x^40+160x^41+313x^42+808x^43+770x^44+1534x^45+1098x^46+1442x^47+761x^48+710x^49+264x^50+170x^51+52x^52+26x^53+14x^54+6x^55+2x^57+7x^58+6x^59+2x^60

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 0.607 seconds.