The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+48x^38+102x^39+238x^40+274x^41+660x^42+826x^43+1370x^44+1206x^45+1410x^46+842x^47+610x^48+228x^49+166x^50+70x^51+73x^52+16x^53+17x^54+16x^55+11x^56+2x^57+1x^58+1x^60+2x^61+1x^62+1x^66

The gray image is a code over GF(2) with n=360, k=13 and d=152.
This code was found by Heurico 1.16 in 0.912 seconds.