The generator matrix

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

generates a code of length 80 over GR(16,4) who´s minimum homogenous weight is 228.

Homogenous weight enumerator: w(x)=1x^0+441x^228+600x^229+408x^230+1299x^232+1344x^233+732x^234+1587x^236+1152x^237+528x^238+1098x^240+1080x^241+516x^242+1122x^244+684x^245+420x^246+762x^248+708x^249+192x^250+567x^252+348x^253+228x^254+237x^256+180x^257+48x^258+51x^260+48x^261+3x^264

The gray image is a code over GF(4) with n=320, k=7 and d=228.
This code was found by Heurico 1.16 in 1.75 seconds.