The generator matrix
1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1
0 1 2a^2+3 a 3a^2+2 2a^2+3a+1 a^2+3a a^2+3a+3 3a^2+2a+3 2 2a^2+2a+3 a+2 3a^2+2a+2 2a^2+3a+3 a^2+a a^2+3a+1 3a^2+3 1 2a
generates a code of length 19 over GR(64,4) who´s minimum homogenous weight is 127.
Homogenous weight enumerator: w(x)=1x^0+896x^127+175x^128+2688x^135+336x^136
The gray image is a code over GF(8) with n=152, k=4 and d=127.
This code was found by Heurico 1.16 in 0.00159 seconds.