The generator matrix

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

generates a code of length 83 over GR(16,4) who´s minimum homogenous weight is 232.

Homogenous weight enumerator: w(x)=1x^0+42x^232+168x^236+36x^238+195x^240+288x^242+132x^244+840x^246+99x^248+1152x^250+90x^252+756x^254+84x^256+48x^260+42x^264+27x^268+12x^272+33x^276+12x^280+18x^284+6x^288+9x^292+3x^300+3x^312

The gray image is a code over GF(4) with n=332, k=6 and d=232.
This code was found by Heurico 1.16 in 0.327 seconds.