The generator matrix

 1  0  1  1  6  1  1  1  6  1 12  1  1  8  1 12  1  1  1  1  1  1  1  1 14  1  1  1  1  1  1 10  1  4 12 12  1  1  1  1  1  1  1  1  1
 0  1  1  6  1  3  5  4  1  2  1  7 13  1  4  1  6 13 10  9 13 12  6  3  1  0 11  8  5  2  7  1  7  1  1  1  9  7  2  3  3 13  7  3  3
 0  0  2  0  0  8  8 10  6 10 14 10  2  4 12  2 12  4  6  4  6  6  2 14 12  0 10  2  8  0 12 14  0 12 14  4 10  0  2  8  4 14 10  8  0
 0  0  0  8  0  8  0  0  8  8  0  0  8  8  8  8  8  0  0  0  8  8  0  0  0  0  8  8  8  8  0  0  0  0  0  8  0  8  8  0  8  8  0  0  0
 0  0  0  0  8  0  8  0  0  8  8  8  0  0  8  8  0  0  8  8  8  0  8  0  0  8  0  8  8  8  0  0  0  8  0  8  8  8  0  8  8  0  0  0  0

generates a code of length 45 over Z16 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+125x^40+320x^41+668x^42+1122x^43+1206x^44+1436x^45+1188x^46+1062x^47+644x^48+220x^49+120x^50+22x^51+5x^52+20x^53+8x^54+18x^55+1x^56+4x^57+1x^64+1x^68

The gray image is a code over GF(2) with n=360, k=13 and d=160.
This code was found by Heurico 1.16 in 0.615 seconds.