The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+110x^38+354x^39+1329x^40+2824x^41+4826x^42+7408x^43+10456x^44+11200x^45+10188x^46+7466x^47+5041x^48+2460x^49+1166x^50+470x^51+124x^52+56x^53+26x^54+12x^55+9x^56+4x^57+4x^58+2x^59

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 24.5 seconds.