The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2 12 12  1  1  2  2  1  1  2  1  1  1  1  1  8  0  2  1  0  2  1  1  1  1  1  1
 0  2  0  0  8 10  6  6  8 10  0 14  0 10  4  2 12  4 10  2  4  0  6  6 12 10  4 12  0  6 10  8 14  0  2 12  2  6  2  6  6 10 14  6  2  0
 0  0  2  0 10 10 10  8  0 10  8  2 14  4 10  4  4 14 10  8  2  2  4  2  0 10 14 10  6  0 14  2 14 12  6  2  4  2 12  8 14  4 12  0  4  0
 0  0  0  2  2  8 10  2  4  4  6  6 14  2  0 12  4 14  2 12 12 14 14  4  6 12  0  6  8  4 12 12  2 12  6  0  2  0 14 14  8  6  0  2  6  8

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

Homogenous weight enumerator: w(x)=1x^0+56x^40+320x^41+265x^42+784x^43+729x^44+1390x^45+1274x^46+1368x^47+711x^48+652x^49+177x^50+240x^51+85x^52+86x^53+27x^54+24x^55+2x^56+1x^70

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 0.747 seconds.