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

generates a code of length 76 over GR(16,4) who´s minimum homogenous weight is 216.

Homogenous weight enumerator: w(x)=1x^0+888x^216+3063x^220+3423x^224+2847x^228+2625x^232+1686x^236+1272x^240+462x^244+108x^248+3x^252+3x^260+3x^264

The gray image is a code over GF(4) with n=304, k=7 and d=216.
This code was found by Heurico 1.16 in 1.31 seconds.