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

generates a code of length 99 over GR(16,4) who´s minimum homogenous weight is 275.

Homogenous weight enumerator: w(x)=1x^0+696x^275+663x^276+744x^277+1188x^278+2988x^279+2322x^280+1596x^281+2316x^282+6204x^283+4812x^284+3360x^285+3696x^286+9744x^287+7791x^288+4848x^289+5340x^290+13680x^291+10332x^292+6540x^293+6372x^294+17268x^295+12066x^296+7344x^297+7248x^298+18336x^299+12501x^300+7800x^301+7200x^302+16188x^303+10770x^304+5688x^305+5220x^306+11388x^307+6339x^308+3444x^309+3120x^310+5712x^311+2988x^312+1332x^313+972x^314+1788x^315+864x^316+288x^317+312x^318+420x^319+144x^320+24x^321+24x^322+36x^323+39x^324+18x^328+6x^332+9x^336+6x^340+3x^348+3x^352+3x^356

The gray image is a code over GF(4) with n=396, k=9 and d=275.
This code was found by Heurico 1.16 in 450 seconds.