The generator matrix

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

generates a code of length 98 over GR(16,4) who´s minimum homogenous weight is 272.

Homogenous weight enumerator: w(x)=1x^0+429x^272+876x^273+756x^274+624x^275+2619x^276+3084x^277+2544x^278+1356x^279+4584x^280+6648x^281+4800x^282+2688x^283+7074x^284+10104x^285+7104x^286+3780x^287+10092x^288+12228x^289+9264x^290+5124x^291+12378x^292+16020x^293+10932x^294+5436x^295+14352x^296+15540x^297+10524x^298+5112x^299+12024x^300+13416x^301+8268x^302+4008x^303+8184x^304+8748x^305+4848x^306+1956x^307+4434x^308+4200x^309+1836x^310+576x^311+1275x^312+1068x^313+516x^314+48x^315+258x^316+216x^317+36x^318+12x^319+57x^320+12x^321+12x^322+24x^324+15x^328+15x^332+3x^336+3x^340+3x^348

The gray image is a code over GF(4) with n=392, k=9 and d=272.
This code was found by Heurico 1.16 in 437 seconds.