The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  6  1  1  1  0  1  1  1  1 12 10  0  1  1  6 10  1  1 12  1  0  1  1  1  6 12  1  1  1  1  1  1  1  1
 0  1  3  6  5  1 12  7  1 10  9  1  6  1  3  0  5  1 12 15 10  9  1  1  1  3  6  1  1  5  0  1  9  1 12 15  3  1  1  6  3  0  6  3  0  0  0
 0  0  8  0  0  0  0  0  0  0  0  0  0  0  8  0  0  0  0  8  8  8  0  8  8  8  8  0  0  8  8  8  8  8  8  0  0  0  0  0  8  0  0  8  8  0  0
 0  0  0  8  0  0  0  0  0  0  0  0  8  0  0  0  0  8  8  8  0  0  8  8  0  0  8  8  0  0  8  8  0  8  0  0  8  0  8  8  8  0  0  8  8  0  0
 0  0  0  0  8  0  0  0  0  0  0  0  0  0  0  0  8  0  0  0  0  8  8  8  8  8  0  8  8  0  0  8  8  8  0  8  0  8  0  8  8  8  8  0  0  8  8
 0  0  0  0  0  8  0  0  0  0  0  0  0  8  0  8  8  0  8  8  8  0  0  8  0  8  8  0  8  8  8  0  8  0  0  0  0  8  8  8  8  0  8  8  0  0  0
 0  0  0  0  0  0  8  0  0  0  8  0  8  0  8  8  8  8  8  8  8  8  8  0  0  0  8  8  8  0  0  8  8  8  8  0  0  0  0  0  8  8  8  8  8  8  8
 0  0  0  0  0  0  0  8  0  0  0  8  0  8  8  0  8  8  8  0  0  8  8  0  0  0  8  0  0  0  8  0  8  8  8  8  8  0  0  0  8  0  0  8  0  0  0
 0  0  0  0  0  0  0  0  8  0  8  8  0  8  8  0  8  0  8  0  8  0  0  0  0  8  0  8  8  8  8  8  8  8  8  8  8  0  8  8  8  8  8  8  8  0  0
 0  0  0  0  0  0  0  0  0  8  8  0  8  0  8  8  8  0  0  0  8  8  0  0  8  0  8  8  0  8  0  8  0  0  0  8  8  8  8  0  0  0  8  0  0  8  8

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

Homogenous weight enumerator: w(x)=1x^0+100x^36+8x^37+46x^38+32x^39+488x^40+264x^41+1136x^42+1856x^43+5533x^44+6384x^45+12116x^46+9536x^47+12312x^48+6384x^49+5336x^50+1856x^51+1315x^52+264x^53+302x^54+32x^55+160x^56+8x^57+8x^58+43x^60+15x^64+1x^68

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 30.6 seconds.