The generator matrix

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

generates a code of length 93 over GR(16,4) who´s minimum homogenous weight is 257.

Homogenous weight enumerator: w(x)=1x^0+396x^257+888x^258+396x^259+858x^260+2136x^261+2916x^262+1704x^263+2490x^264+4584x^265+6396x^266+2532x^267+3897x^268+8220x^269+9396x^270+4020x^271+6072x^272+11580x^273+13416x^274+5808x^275+6933x^276+14424x^277+15756x^278+6408x^279+8898x^280+15876x^281+16008x^282+6972x^283+8244x^284+14052x^285+13836x^286+5148x^287+5823x^288+9276x^289+8568x^290+2844x^291+2652x^292+4056x^293+3888x^294+744x^295+972x^296+1260x^297+972x^298+264x^299+189x^300+120x^301+96x^302+24x^303+15x^304+36x^305+24x^306+12x^308+12x^312+12x^316+15x^320+3x^324+6x^328

The gray image is a code over GF(4) with n=372, k=9 and d=257.
This code was found by Heurico 1.16 in 362 seconds.