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

generates a code of length 84 over GR(16,4) who´s minimum homogenous weight is 236.

Homogenous weight enumerator: w(x)=1x^0+93x^236+147x^240+48x^243+165x^244+432x^247+141x^248+1296x^251+120x^252+1296x^255+117x^256+54x^260+45x^264+36x^268+18x^272+24x^276+9x^280+15x^284+15x^288+9x^292+3x^296+6x^300+3x^308+3x^324

The gray image is a code over GF(4) with n=336, k=6 and d=236.
This code was found by Heurico 1.16 in 0.335 seconds.