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  0  1  1  1  1
 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 2a+2 a+3  3
 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 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 2a+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+816x^243+444x^244+2196x^247+834x^248+2712x^251+819x^252+2112x^255+648x^256+1680x^259+555x^260+1272x^263+339x^264+864x^267+273x^268+456x^271+111x^272+168x^275+69x^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 1.61 seconds.