The generator matrix

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

generates a code of length 19 over GR(16,4) who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+321x^48+276x^49+432x^50+96x^51+1398x^52+900x^53+624x^54+576x^55+2256x^56+1980x^57+1296x^58+864x^59+2580x^60+1452x^61+720x^62+576x^64+30x^68+6x^72

The gray image is a code over GF(4) with n=76, k=7 and d=48.
This code was found by Heurico 1.16 in 0.234 seconds.