The generator matrix

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

generates a code of length 81 over GR(16,4) who´s minimum homogenous weight is 232.

Homogenous weight enumerator: w(x)=1x^0+1746x^232+3057x^236+3522x^240+2736x^244+2118x^248+1584x^252+1005x^256+540x^260+72x^264+3x^268

The gray image is a code over GF(4) with n=324, k=7 and d=232.
This code was found by Heurico 1.16 in 184 seconds.