The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  8  4  1  1  2  1  1  1  0  1  0  1  1  1  0  1  2  2  2  1  1  1  2  1  2  1
 0  2  0  2  0  8  2 10  8  2 12 14  0 10  4  6  8  4  2  6  2  2 14  2  6 14 10 14  2 12  4  4 12  0  2  6  6  6  0  2 10  8 14 10 12  8
 0  0  2  2 12 14  6 12  0  2 10 12  4 14 14  8  0 10 10  0 12  6  8  4 14 14  0  6  4  8  2  0 14  2  2  6 14 12 10  8 14 14  6  0  6  8
 0  0  0  4  0  0 12  8  4  8 12 12 12  8  4 12  4 12 12  0  0 12  0 12  0  8  8  8  4 12 12  4  0 12  4  4  0 12 12 12  4  8 12  4  8  8
 0  0  0  0  8  8  8  8  0  0  0  8  8  8  8  0  8  8  8  8  0  0  0  0  8  8  8  0  0  0  0  8  0  0  8  0  0  8  0  8  8  0  8  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+65x^40+292x^41+346x^42+700x^43+751x^44+1458x^45+1118x^46+1502x^47+628x^48+648x^49+290x^50+176x^51+84x^52+58x^53+34x^54+22x^55+6x^56+8x^57+4x^58+1x^68

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 0.856 seconds.