The generator matrix

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

generates a code of length 81 over GR(16,4) who´s minimum homogenous weight is 228.

Homogenous weight enumerator: w(x)=1x^0+117x^228+183x^232+48x^234+168x^236+432x^238+135x^240+1296x^242+108x^244+1296x^246+63x^248+51x^252+39x^256+39x^260+33x^264+21x^268+24x^272+18x^276+12x^280+6x^284+3x^288+3x^312

The gray image is a code over GF(4) with n=324, k=6 and d=228.
This code was found by Heurico 1.16 in 0.316 seconds.