The generator matrix

 1  0  1  1  1  1  1  1  1  0  1  1  1  0  1  1  1  1  1  2  1  1 2a  1  1  1  1  1  1  1  1  1  0  1  1 2a+2  1  1  1 2a+2  1  1  1  2  1  1  1  1  2  1  0  1  1  2  1 2a+2  2  1 2a+2  0  1  1  1  1  1  1  1  1  0  1  1  1  1  1  1  1  1  1  1  1  0
 0  1  1  a 3a+3  0 2a+3 a+1  a  1  0 2a+3  a  1 a+1  2 a+1 a+2 2a+3  1 a+1  a  1  1 3a+2 3a+3  0  a 2a+1  0 a+3 2a+2  1 a+1 3a+2  1 3a+3 2a+3 3a+1  1 a+2 2a+1 2a+3  1 2a 3a+3 3a+2 2a  1 3a+3  1  2  1  1 2a+2  1  1 a+1  1  1 3a  2 a+3  3 2a+2 3a+2 2a+3 3a+2  1 a+2 2a+1 2a 3a 2a+2 3a+3  a  0 3a+1 a+1 2a+2  1
 0  0 2a+2  0  0  0  2  2  2  2  2  2 2a+2 2a+2 2a  2 2a 2a+2 2a+2  0 2a+2 2a+2 2a  2  0  0 2a 2a 2a  0 2a  2  0  2  2  2 2a+2 2a 2a+2 2a  0  0 2a+2 2a  0 2a  0  0  2 2a 2a 2a 2a+2 2a+2 2a+2 2a  0 2a+2  2  0 2a  2 2a 2a  2  2  2 2a+2  2  2  2 2a 2a  2  0  0 2a  2  2 2a  2
 0  0  0  2  0  2 2a+2  0  2 2a+2  2  0 2a 2a+2  0 2a+2  0  0 2a 2a  2  2 2a+2  0 2a+2 2a 2a  0 2a  2  0 2a 2a+2 2a 2a+2 2a  2 2a 2a 2a 2a+2  0 2a 2a+2  0  2  2 2a+2  0 2a+2  0 2a 2a+2 2a+2  2  0 2a 2a+2  2  0  2 2a  2 2a+2  2 2a 2a 2a  2 2a+2 2a  2  2  0  0  2 2a 2a  0  0 2a
 0  0  0  0 2a+2 2a+2  2 2a+2 2a  0 2a+2  2  2 2a  2 2a 2a  2 2a+2 2a+2  0 2a+2 2a+2 2a  0 2a+2 2a+2  0 2a 2a 2a+2  0 2a  2  0  2  2  0 2a+2 2a+2 2a 2a+2 2a  0 2a  0 2a 2a+2  0  0  2  2  2  0  2  0 2a 2a 2a  2  2  2 2a 2a+2  0  2  0  0  2  2 2a+2  2  0 2a  0 2a+2 2a 2a+2  0 2a  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+279x^228+144x^229+264x^231+1047x^232+372x^233+492x^235+1410x^236+432x^237+396x^239+2046x^240+564x^241+636x^243+1767x^244+636x^245+624x^247+1860x^248+396x^249+468x^251+1272x^252+408x^253+156x^255+375x^256+108x^257+36x^259+84x^260+12x^261+24x^264+9x^268+18x^272+15x^276+15x^280+3x^284+6x^288+9x^292

The gray image is a code over GF(4) with n=324, k=7 and d=228.
This code was found by Heurico 1.16 in 2.04 seconds.