The generator matrix

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

generates a code of length 45 over Z16 who´s minimum homogenous weight is 39.

Homogenous weight enumerator: w(x)=1x^0+64x^39+225x^40+426x^41+643x^42+882x^43+1297x^44+1412x^45+1101x^46+864x^47+544x^48+334x^49+200x^50+74x^51+67x^52+32x^53+7x^54+4x^55+10x^56+4x^57+1x^66

The gray image is a code over GF(2) with n=360, k=13 and d=156.
This code was found by Heurico 1.16 in 0.821 seconds.