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  0  1  1 2a  1  1  1  1 2a+2  1  1  1 2a+2  1  1  1  1  1  1  1 2a  1  1  2  1  1  0  1  1  1  2  1  1  1  1  1  1  1  1  0  0  1  1  1  1  1  1  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 3a a+3 2a+3 2a+1  1 2a+2 2a+1  1 a+2  0 a+3 2a+1  1 3a 2a+1 2a+1  1 3a+1 3a+3  3 2a+2 2a+3 2a a+3  1  0 a+2  1 3a+2  1  1 3a+1 a+2 2a  1 2a+3  3 2a+1 2a 3a+1 2a+2 a+1 a+2  1  1  2 3a+3  2 a+3 a+3  1  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  2 2a+2 2a 2a+2  0 2a+2 2a  0 2a 2a  2 2a 2a+2 2a+2  2  2  2 2a 2a 2a  2 2a  2 2a+2 2a  0  0 2a+2 2a  2  0  0 2a+2  0 2a  0  0  0  2 2a+2  0  0 2a 2a+2 2a+2  0  2 2a
 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 2a+2  2  2 2a  2  2  0  2 2a+2  2  0  2  2 2a 2a  2  0  0  2 2a+2 2a 2a+2 2a+2 2a 2a+2 2a 2a 2a+2 2a+2  0 2a 2a+2  2  2  0 2a+2  0 2a 2a  2 2a+2  2  2 2a  2 2a+2 2a+2  2
 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+2 2a  2  2 2a  2 2a+2  2  0 2a 2a  0 2a  0  2  2 2a 2a  2  0  2  2  2 2a 2a+2  2 2a 2a 2a  0  0 2a 2a 2a  0  0 2a  0  2  0 2a  0 2a 2a  0 2a 2a+2  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+99x^212+48x^213+144x^215+900x^216+336x^217+420x^219+1302x^220+408x^221+492x^223+1767x^224+660x^225+588x^227+2022x^228+528x^229+600x^231+1995x^232+456x^233+588x^235+1524x^236+456x^237+204x^239+423x^240+180x^241+36x^243+93x^244+24x^248+12x^252+30x^256+27x^260+9x^264+3x^268+3x^272+3x^276+3x^284

The gray image is a code over GF(4) with n=304, k=7 and d=212.
This code was found by Heurico 1.16 in 1.74 seconds.