The generator matrix

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

generates a code of length 79 over GR(16,4) who´s minimum homogenous weight is 229.

Homogenous weight enumerator: w(x)=1x^0+168x^229+492x^230+84x^232+744x^233+1092x^234+81x^236+180x^237+144x^238+27x^240+108x^241+30x^244+60x^245+228x^246+21x^248+252x^249+348x^250+9x^252+24x^253+3x^264

The gray image is a code over GF(4) with n=316, k=6 and d=229.
This code was found by Heurico 1.16 in 4.67 seconds.