The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+96x^39+724x^40+1554x^41+2639x^42+3440x^43+5490x^44+5320x^45+5214x^46+3356x^47+2582x^48+1364x^49+635x^50+176x^51+92x^52+48x^53+24x^54+4x^55+7x^56+2x^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 7.3 seconds.