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

generates a code of length 74 over GR(16,4) who´s minimum homogenous weight is 214.

Homogenous weight enumerator: w(x)=1x^0+192x^214+300x^215+420x^216+192x^217+372x^218+360x^219+414x^220+60x^221+276x^222+180x^223+261x^224+60x^225+96x^226+84x^227+147x^228+24x^229+60x^230+144x^231+90x^232+24x^233+96x^234+36x^235+36x^236+12x^237+48x^238+48x^239+36x^240+12x^241+12x^242+3x^260

The gray image is a code over GF(4) with n=296, k=6 and d=214.
This code was found by Heurico 1.16 in 0.125 seconds.