The generator matrix

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

generates a code of length 46 over Z16 who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+66x^37+166x^38+270x^39+599x^40+1238x^41+2455x^42+4042x^43+8686x^44+8728x^45+13175x^46+8646x^47+8554x^48+4264x^49+2470x^50+1046x^51+539x^52+278x^53+151x^54+68x^55+50x^56+18x^57+14x^58+8x^59+3x^60+1x^66

The gray image is a code over GF(2) with n=368, k=16 and d=148.
This code was found by Heurico 1.16 in 35.8 seconds.