The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+93x^240+216x^244+48x^246+150x^248+432x^250+132x^252+1296x^254+117x^256+1296x^258+87x^260+48x^264+27x^268+45x^272+24x^276+15x^280+27x^284+12x^288+15x^292+6x^296+6x^304+3x^328

The gray image is a code over GF(4) with n=340, k=6 and d=240.
This code was found by Heurico 1.16 in 0.344 seconds.