The generator matrix

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

generates a code of length 85 over GR(16,4) who´s minimum homogenous weight is 243.

Homogenous weight enumerator: w(x)=1x^0+828x^243+471x^244+2100x^247+936x^248+2808x^251+600x^252+2076x^255+729x^256+1764x^259+537x^260+1200x^263+315x^264+888x^267+318x^268+468x^271+144x^272+144x^275+42x^276+12x^279+3x^280

The gray image is a code over GF(4) with n=340, k=7 and d=243.
This code was found by Heurico 1.16 in 1.66 seconds.