The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+105x^48+780x^52+1368x^56+1695x^60+120x^64+18x^68+6x^72+3x^76

The gray image is a code over GF(4) with n=76, k=6 and d=48.
This code was found by Heurico 1.16 in 0.0216 seconds.