The generator matrix

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

generates a code of length 85 over GR(16,4) who´s minimum homogenous weight is 240.

Homogenous weight enumerator: w(x)=1x^0+462x^240+1674x^244+2502x^248+2652x^252+3399x^256+2637x^260+1959x^264+855x^268+120x^272+27x^276+30x^280+15x^284+24x^288+6x^292+9x^296+6x^300+6x^304

The gray image is a code over GF(4) with n=340, k=7 and d=240.
This code was found by Heurico 1.16 in 18.5 seconds.