The generator matrix

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

generates a code of length 98 over GR(16,4) who´s minimum homogenous weight is 293.

Homogenous weight enumerator: w(x)=1x^0+72x^293+144x^294+24x^297+9x^312+6x^316

The gray image is a code over GF(4) with n=392, k=4 and d=293.
This code was found by Heurico 1.16 in 0.157 seconds.