The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+387x^236+1359x^240+2085x^244+2865x^248+2865x^252+3126x^256+2298x^260+1056x^264+183x^268+69x^272+21x^276+12x^280+18x^284+18x^288+9x^292+3x^296+3x^300+3x^304+3x^308

The gray image is a code over GF(4) with n=336, k=7 and d=236.
This code was found by Heurico 1.16 in 1.98 seconds.