The generator matrix

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

generates a code of length 47 over Z16 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+19x^36+36x^37+96x^38+226x^39+230x^40+670x^41+1010x^42+2360x^43+4977x^44+6892x^45+11065x^46+10276x^47+11145x^48+7036x^49+4970x^50+2320x^51+937x^52+668x^53+230x^54+170x^55+84x^56+54x^57+26x^58+8x^59+11x^60+4x^61+9x^62+4x^64+2x^66

The gray image is a code over GF(2) with n=376, k=16 and d=144.
This code was found by Heurico 1.16 in 31.1 seconds.