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

generates a code of length 47 over Z16 who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+70x^37+183x^38+266x^39+343x^40+386x^41+395x^42+552x^43+1428x^44+3404x^45+5817x^46+7006x^47+5868x^48+3386x^49+1457x^50+666x^51+420x^52+356x^53+292x^54+192x^55+120x^56+76x^57+48x^58+22x^59+11x^60+2x^61+1x^84

The gray image is a code over GF(2) with n=376, k=15 and d=148.
This code was found by Heurico 1.16 in 20.2 seconds.