The generator matrix

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

generates a code of length 81 over GR(16,4) who´s minimum homogenous weight is 236.

Homogenous weight enumerator: w(x)=1x^0+822x^236+1986x^240+201x^244+150x^248+312x^252+612x^256+9x^260+3x^272

The gray image is a code over GF(4) with n=324, k=6 and d=236.
This code was found by Heurico 1.16 in 2.15 seconds.