The generator matrix

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

generates a code of length 82 over GR(16,4) who´s minimum homogenous weight is 234.

Homogenous weight enumerator: w(x)=1x^0+648x^234+660x^235+156x^236+1548x^238+1224x^239+231x^240+2004x^242+1164x^243+159x^244+1524x^246+1152x^247+198x^248+1464x^250+768x^251+99x^252+1056x^254+540x^255+66x^256+528x^258+384x^259+60x^260+336x^262+204x^263+48x^264+108x^266+48x^267+3x^268+3x^276

The gray image is a code over GF(4) with n=328, k=7 and d=234.
This code was found by Heurico 1.16 in 2.81 seconds.