The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  2  1  1  2  2  2  1  2  4  1  1  0  1  4  4  4  2  4  1  1  1  1  1
 0 12  0  4  0  0  4 12  0  8  4  0  4  8  4  4  0  8  0  4 12  0 12  0  4  8 12  4  4  0  0  8  8 12  4  0 12  4  4 12  0 12  0  8  0  0  0
 0  0 12  4  0 12  4  0  0  4  0  8 12 12  8  4  8  4  4  4  0  8  0 12  4  8  4  4  4 12  8  4  4  8  8  4  4  4  4  8 12  0 12  8  4  0  0
 0  0  0  8  0  0  0  0  0  8  8  8  8  0  0  0  0  0  8  8  0  8  0  8  0  0  0  8  0  8  8  8  0  0  8  8  0  0  8  8  0  8  8  0  0  0  0
 0  0  0  0  8  0  0  0  0  0  0  0  8  8  8  8  8  8  0  8  0  8  8  8  8  0  0  8  0  8  8  8  8  8  0  8  0  8  0  0  8  8  0  8  8  0  0
 0  0  0  0  0  8  0  0  0  8  0  0  0  0  0  8  8  8  8  0  8  8  0  8  8  8  8  0  0  8  0  0  8  0  8  8  0  8  0  0  0  8  8  8  8  8  0
 0  0  0  0  0  0  8  0  0  8  8  8  0  0  0  0  8  8  0  8  0  8  8  8  8  8  8  0  8  0  0  0  0  0  0  0  0  0  8  0  8  8  8  0  8  8  0
 0  0  0  0  0  0  0  8  0  0  8  0  0  0  0  8  8  8  8  0  0  8  8  8  0  0  8  8  8  0  8  0  8  8  8  0  0  0  0  8  0  0  8  0  0  0  0
 0  0  0  0  0  0  0  0  8  0  0  8  0  0  0  8  8  0  0  0  8  8  8  0  8  8  0  8  0  0  8  8  0  0  8  8  8  0  8  0  0  8  8  0  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+34x^36+10x^37+104x^38+74x^39+223x^40+222x^41+380x^42+458x^43+1387x^44+784x^45+4019x^46+992x^47+4017x^48+824x^49+1409x^50+448x^51+393x^52+182x^53+186x^54+70x^55+61x^56+26x^57+34x^58+6x^59+25x^60+11x^62+2x^64+1x^66+1x^68

The gray image is a code over GF(2) with n=376, k=14 and d=144.
This code was found by Heurico 1.16 in 4.67 seconds.