The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  0  2  8  1  2  0  1  1  1  1  1  0  2  1  1  1  1  1  2  2  1  1  2  1  1  2  1  0  4  1
 0  2  0  6  0  6  8  6 14  8  6  0  2  4  2 14  2 14  2 14  6  2  4  8  2  0 14  2  6  8 14 12  2  6  4  2  4  6  2  4  8  6 10  2  0 14
 0  0 12  0  0  0 12  8  4  0 12 12  4  4  4  0  0  4 12  8 12  4  8 12  4 12  4  0  0  8  0  8 12  8  0  8 12  0  0  4  4  8  4  8  4  4
 0  0  0 12  0  0  0  0  0  0  0  0  8  0  8  4 12 12 12  8 12  4 12  4 12 12 12  4  8  8 12  4  8 12 12  4  0  8  8  4 12  0  4  0  4  8
 0  0  0  0 12  0  4 12 12  8  0  0  8  4  4  4  8  0  4  4  4  8  8  8  4 12  8  4 12 12  4  4  0  4  0  0 12  4  8  8  8  0 12 12  0  0
 0  0  0  0  0 12  0 12  4  4  4 12  0  4  8  4  4 12  8  8  4  0  8 12 12 12 12  0  4 12 12 12 12  0  4  8  4  8  4  4  0 12  8  4  8  0

generates a code of length 46 over Z16 who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+74x^37+153x^38+260x^39+375x^40+828x^41+1289x^42+2304x^43+3598x^44+4692x^45+5671x^46+4776x^47+3483x^48+2404x^49+1251x^50+692x^51+379x^52+234x^53+132x^54+92x^55+32x^56+24x^57+16x^58+4x^59+3x^60+1x^64

The gray image is a code over GF(2) with n=368, k=15 and d=148.
This code was found by Heurico 1.16 in 14 seconds.