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

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

Homogenous weight enumerator: w(x)=1x^0+67x^36+72x^37+199x^38+250x^39+377x^40+550x^41+621x^42+1182x^43+1668x^44+3552x^45+5257x^46+5224x^47+5241x^48+3448x^49+1711x^50+1280x^51+667x^52+500x^53+318x^54+238x^55+147x^56+66x^57+75x^58+18x^59+22x^60+4x^61+9x^62+2x^64+1x^66+1x^70

The gray image is a code over GF(2) with n=376, k=15 and d=144.
This code was found by Heurico 1.16 in 17.2 seconds.