The generator matrix

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

generates a code of length 45 over Z16 who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+272x^38+672x^39+1575x^40+2700x^41+4492x^42+7912x^43+9560x^44+11140x^45+9522x^46+8116x^47+4595x^48+2660x^49+1370x^50+480x^51+284x^52+108x^53+54x^54+4x^55+13x^56+2x^58+4x^60

The gray image is a code over GF(2) with n=360, k=16 and d=152.
This code was found by Heurico 1.16 in 41.9 seconds.