The generator matrix

 1  0  0  0  1  1  1  2  1  1  1  1  1  1 2a 2a+2  0  1  1
 0  1  0  0  2  1  3  1  a a+3 3a+3 3a+2 2a 2a+3 2a+2  1  1 2a+2  1
 0  0  1  0 2a+3  1 2a+2 2a+3 3a+2 3a+1  1 a+1 3a 3a+3  1 3a+1 a+2  0 3a+3
 0  0  0  1 3a+3  2 3a+1 3a+1 2a+2 2a+3  a 3a  1 3a+1  3  0 a+1 2a+1 3a+2

generates a code of length 19 over GR(16,4) who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+276x^46+744x^47+687x^48+576x^49+1872x^50+2352x^51+2211x^52+1728x^53+5304x^54+5760x^55+4503x^56+5568x^57+9552x^58+8400x^59+4944x^60+2880x^61+4500x^62+2712x^63+936x^64+15x^68+9x^72+6x^76

The gray image is a code over GF(4) with n=76, k=8 and d=46.
This code was found by Heurico 1.16 in 3.59 seconds.