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

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

Homogenous weight enumerator: w(x)=1x^0+396x^215+564x^216+1008x^217+720x^218+1368x^219+1890x^220+2460x^221+1464x^222+2364x^223+2715x^224+2772x^225+1620x^226+2568x^227+2880x^228+3564x^229+2280x^230+3228x^231+3405x^232+4056x^233+1728x^234+3072x^235+2877x^236+2964x^237+1596x^238+2124x^239+2190x^240+2052x^241+984x^242+1488x^243+1062x^244+900x^245+276x^246+240x^247+309x^248+192x^249+84x^250+48x^251+27x^252

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 25.4 seconds.