The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+393x^212+768x^213+564x^214+816x^215+1875x^216+1884x^217+1548x^218+1356x^219+2835x^220+3024x^221+1872x^222+1764x^223+3834x^224+3372x^225+2304x^226+1656x^227+4335x^228+3624x^229+2196x^230+2340x^231+4158x^232+3360x^233+1728x^234+1512x^235+3180x^236+2436x^237+1332x^238+1032x^239+1494x^240+1104x^241+588x^242+228x^243+366x^244+372x^245+132x^246+48x^247+51x^248+24x^249+24x^250+3x^252+3x^256

The gray image is a code over GF(4) with n=304, k=8 and d=212.
This code was found by Heurico 1.16 in 23.9 seconds.