The generator matrix

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

generates a code of length 82 over GR(16,4) who´s minimum homogenous weight is 229.

Homogenous weight enumerator: w(x)=1x^0+204x^229+492x^230+264x^231+843x^232+1584x^233+1932x^234+1056x^235+1503x^236+2412x^237+2952x^238+1920x^239+2136x^240+3060x^241+3324x^242+1800x^243+2103x^244+3564x^245+4164x^246+1824x^247+2412x^248+3528x^249+3540x^250+1716x^251+2088x^252+2880x^253+2580x^254+1236x^255+1323x^256+1920x^257+1848x^258+756x^259+723x^260+684x^261+612x^262+180x^263+141x^264+132x^265+60x^266+39x^268

The gray image is a code over GF(4) with n=328, k=8 and d=229.
This code was found by Heurico 1.16 in 26.1 seconds.