The generator matrix

 1  0  0  1  1  1 10  1 10  1  1  1  2 12 14  1  4  1  1  2  1  1  1  1  1  6  6  2  4  1  1  0  1 12 14  1  4  2  1  1  1  6  1  1  4
 0  1  0  4  5  1  1  0  8 12  5  9  2  1  1 15  1  6 15  1 14 14  2 13 11  1  6  1  1  0 11  1  6  0  8  7  1  1  5  4  7  1  1  8  2
 0  0  1  7  3  4  3  6  1  9  5 10  1  6  1  3  1  3  6  4  6  7  4  4  1  6  1  7 13  5 14  6  1  1  1 15  7  0  7 10  5  0  6 11  1
 0  0  0  8  0  0  0  0  0  8  0  0  0  0  0  8  8  0  8  8  8  0  0  8  8  8  8  8  0  0  0  8  0  8  8  0  8  8  0  8  8  0  8  8  8
 0  0  0  0  8  0  0  0  0  0  0  8  8  8  8  8  0  0  0  8  8  0  8  8  0  0  8  8  0  8  8  8  8  8  0  0  0  0  8  8  8  8  8  8  0
 0  0  0  0  0  8  0  8  8  8  0  8  0  8  8  8  0  8  8  0  8  0  0  8  0  0  0  8  8  8  0  8  0  8  0  8  8  8  8  0  0  0  0  0  8

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

Homogenous weight enumerator: w(x)=1x^0+128x^39+616x^40+1462x^41+2588x^42+4000x^43+5036x^44+5306x^45+5104x^46+3996x^47+2321x^48+1238x^49+612x^50+192x^51+84x^52+54x^53+16x^54+4x^55+6x^56+4x^57

The gray image is a code over GF(2) with n=360, k=15 and d=156.
This code was found by Heurico 1.16 in 6.39 seconds.