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

generates a code of length 46 over Z16 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+71x^36+146x^37+219x^38+366x^39+419x^40+452x^41+852x^42+1744x^43+3477x^44+5462x^45+6318x^46+5500x^47+3526x^48+1766x^49+813x^50+516x^51+364x^52+264x^53+218x^54+126x^55+74x^56+38x^57+27x^58+4x^59+4x^60+1x^78

The gray image is a code over GF(2) with n=368, k=15 and d=144.
This code was found by Heurico 1.16 in 17.1 seconds.