The generator matrix

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

generates a code of length 81 over GR(16,4) who´s minimum homogenous weight is 227.

Homogenous weight enumerator: w(x)=1x^0+1068x^227+711x^228+4344x^231+1536x^232+6444x^235+2388x^236+8352x^239+2856x^240+8952x^243+3054x^244+8196x^247+2376x^248+6504x^251+2076x^252+4008x^255+1047x^256+1116x^259+315x^260+156x^263+24x^264+12x^267

The gray image is a code over GF(4) with n=324, k=8 and d=227.
This code was found by Heurico 1.16 in 251 seconds.