The generator matrix

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

generates a code of length 88 over GR(16,4) who´s minimum homogenous weight is 242.

Homogenous weight enumerator: w(x)=1x^0+384x^242+408x^243+534x^244+900x^245+2028x^246+2088x^247+1734x^248+1944x^249+5244x^250+4692x^251+3855x^252+4212x^253+8640x^254+7584x^255+5058x^256+6216x^257+12552x^258+10824x^259+7536x^260+7872x^261+15372x^262+13104x^263+8379x^264+9612x^265+17028x^266+14292x^267+8391x^268+8376x^269+15480x^270+11280x^271+6660x^272+6492x^273+9600x^274+6456x^275+3339x^276+2604x^277+4416x^278+2424x^279+1209x^280+876x^281+1272x^282+480x^283+312x^284+36x^285+144x^286+96x^287+27x^288+12x^289+21x^292+18x^296+6x^300+15x^304+6x^308+3x^320

The gray image is a code over GF(4) with n=352, k=9 and d=242.
This code was found by Heurico 1.16 in 337 seconds.