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

generates a code of length 77 over GR(16,4) who´s minimum homogenous weight is 215.

Homogenous weight enumerator: w(x)=1x^0+480x^215+687x^216+768x^217+624x^218+1944x^219+1839x^220+1536x^221+1344x^222+3072x^223+2634x^224+2184x^225+1956x^226+3612x^227+2913x^228+2328x^229+1980x^230+4548x^231+3405x^232+2496x^233+1884x^234+4236x^235+2835x^236+2436x^237+1884x^238+2820x^239+2115x^240+1356x^241+816x^242+1728x^243+1062x^244+564x^245+216x^246+552x^247+387x^248+156x^249+48x^250+48x^251+36x^252+3x^260+3x^264

The gray image is a code over GF(4) with n=308, k=8 and d=215.
This code was found by Heurico 1.16 in 28.5 seconds.