The generator matrix

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

generates a code of length 85 over GR(16,4) who´s minimum homogenous weight is 234.

Homogenous weight enumerator: w(x)=1x^0+492x^234+984x^235+783x^236+672x^237+2772x^238+3036x^239+2118x^240+2436x^241+5340x^242+5748x^243+4338x^244+3708x^245+8952x^246+9024x^247+6789x^248+5916x^249+12312x^250+12408x^251+9258x^252+7896x^253+15012x^254+14868x^255+10473x^256+8352x^257+16560x^258+14196x^259+9102x^260+7788x^261+13200x^262+11208x^263+6591x^264+4380x^265+7884x^266+5832x^267+2823x^268+1584x^269+2880x^270+2184x^271+834x^272+228x^273+516x^274+384x^275+69x^276+48x^277+96x^278+18x^280+21x^284+12x^288+3x^292+3x^296+3x^300+6x^304+3x^312

The gray image is a code over GF(4) with n=340, k=9 and d=234.
This code was found by Heurico 1.16 in 339 seconds.