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

generates a code of length 75 over GR(16,4) who´s minimum homogenous weight is 217.

Homogenous weight enumerator: w(x)=1x^0+180x^217+120x^218+660x^219+288x^220+372x^221+84x^222+564x^223+117x^224+264x^225+60x^226+240x^227+123x^228+156x^229+60x^230+120x^231+42x^232+60x^233+24x^234+240x^235+30x^236+48x^237+24x^238+60x^239+48x^241+12x^242+36x^243+36x^244+24x^245+3x^260

The gray image is a code over GF(4) with n=300, k=6 and d=217.
This code was found by Heurico 1.16 in 0.125 seconds.