The generator matrix

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

generates a code of length 76 over GR(16,4) who´s minimum homogenous weight is 220.

Homogenous weight enumerator: w(x)=1x^0+186x^220+444x^221+192x^222+264x^223+390x^224+540x^225+168x^226+120x^227+279x^228+276x^229+84x^230+72x^231+129x^232+180x^233+60x^234+60x^235+114x^236+108x^237+36x^238+24x^239+48x^240+132x^241+12x^242+36x^243+30x^244+36x^245+24x^246+36x^248+12x^249+3x^252

The gray image is a code over GF(4) with n=304, k=6 and d=220.
This code was found by Heurico 1.16 in 0.14 seconds.