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

generates a code of length 49 over Z16 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+82x^40+126x^41+204x^42+278x^43+324x^44+456x^45+654x^46+1520x^47+2811x^48+3486x^49+2845x^50+1508x^51+742x^52+416x^53+269x^54+240x^55+140x^56+114x^57+78x^58+38x^59+26x^60+8x^61+13x^62+2x^64+2x^65+1x^74

The gray image is a code over GF(2) with n=392, k=14 and d=160.
This code was found by Heurico 1.16 in 5.08 seconds.