The generator matrix

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

generates a code of length 83 over GR(16,4) who´s minimum homogenous weight is 242.

Homogenous weight enumerator: w(x)=1x^0+648x^242+468x^243+84x^244+576x^246+516x^247+102x^248+528x^250+288x^251+12x^252+180x^254+48x^255+27x^256+168x^258+72x^259+12x^260+60x^262+96x^263+3x^264+120x^266+36x^267+12x^268+24x^270+12x^271+3x^296

The gray image is a code over GF(4) with n=332, k=6 and d=242.
This code was found by Heurico 1.16 in 3.91 seconds.