The generator matrix

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

generates a code of length 91 over GR(16,4) who´s minimum homogenous weight is 251.

Homogenous weight enumerator: w(x)=1x^0+264x^251+543x^252+432x^253+1632x^254+1920x^255+1998x^256+1764x^257+3516x^258+4920x^259+4545x^260+3156x^261+5556x^262+7512x^263+6693x^264+4548x^265+9012x^266+10620x^267+9084x^268+6876x^269+12564x^270+13056x^271+11772x^272+7896x^273+13572x^274+14556x^275+11754x^276+8004x^277+12828x^278+13164x^279+10005x^280+5772x^281+8748x^282+8412x^283+5976x^284+3348x^285+4668x^286+4200x^287+2559x^288+1020x^289+1440x^290+1068x^291+468x^292+168x^293+192x^294+180x^295+87x^296+24x^297+18x^300+3x^304+3x^308+9x^312+9x^316+9x^320

The gray image is a code over GF(4) with n=364, k=9 and d=251.
This code was found by Heurico 1.16 in 351 seconds.