The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+216x^39+1302x^40+3278x^41+5320x^42+7550x^43+9853x^44+10178x^45+10385x^46+7886x^47+5263x^48+2650x^49+978x^50+434x^51+153x^52+54x^53+21x^54+10x^55+4x^56

The gray image is a code over GF(2) with n=360, k=16 and d=156.
This code was found by Heurico 1.16 in 26 seconds.