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

generates a code of length 76 over GR(16,4) who´s minimum homogenous weight is 212.

Homogenous weight enumerator: w(x)=1x^0+54x^212+180x^216+48x^219+216x^220+432x^223+111x^224+1296x^227+105x^228+1296x^231+102x^232+66x^236+33x^240+27x^244+36x^248+30x^252+21x^256+15x^260+12x^264+6x^268+6x^276+3x^292

The gray image is a code over GF(4) with n=304, k=6 and d=212.
This code was found by Heurico 1.16 in 0.282 seconds.