The generator matrix

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

generates a code of length 45 over Z16 who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+50x^37+157x^38+226x^39+584x^40+976x^41+2758x^42+3662x^43+5698x^44+4674x^45+5870x^46+3382x^47+2581x^48+1102x^49+613x^50+198x^51+114x^52+36x^53+36x^54+16x^55+14x^56+10x^57+5x^58+4x^59+1x^62

The gray image is a code over GF(2) with n=360, k=15 and d=148.
This code was found by Heurico 1.16 in 8.74 seconds.