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

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

Homogenous weight enumerator: w(x)=1x^0+744x^227+318x^228+1176x^229+516x^230+2532x^231+834x^232+2340x^233+1080x^234+3744x^235+1392x^236+3000x^237+1140x^238+5136x^239+1338x^240+3552x^241+1536x^242+4980x^243+1644x^244+3732x^245+1284x^246+5076x^247+1449x^248+2592x^249+1176x^250+3816x^251+1074x^252+2304x^253+684x^254+2280x^255+483x^256+1008x^257+240x^258+732x^259+129x^260+252x^261+24x^262+144x^263+39x^264+12x^265+3x^276

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 40 seconds.