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

generates a code of length 77 over GR(16,4) who´s minimum homogenous weight is 216.

Homogenous weight enumerator: w(x)=1x^0+183x^216+228x^217+156x^218+774x^220+696x^221+348x^222+1140x^224+888x^225+576x^226+1104x^228+1164x^229+660x^230+1422x^232+1296x^233+444x^234+1287x^236+1104x^237+612x^238+864x^240+552x^241+264x^242+222x^244+204x^245+12x^246+54x^248+12x^249+36x^252+30x^256+12x^260+9x^264+15x^268+9x^272+6x^276

The gray image is a code over GF(4) with n=308, k=7 and d=216.
This code was found by Heurico 1.16 in 1.79 seconds.