length n = 250
dimension k = 5
alphabet length q = 3

minimum distance d = 165

generator matrix:
0000010001000100010001000100010001001100110011001100110011001100110011001100110011010101010011001101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011101110111011111111111111111111111111111111111111111111111
0000100010001000100010001000100010010101010101010101010101010201020102010201020102101010101100110010111011101110111011101110121012101210121012101210121022102210221022102210221012101210121012101210121012101211111122112211221122112211221122112211222222
0001000100010001000100010001000100110011001100110011001100120012001200120012001200010101010022002211011101110111011101110112201220122012201220122012202101210121012101210121012202220222022202220222022202220211111212121212121212121212121212222222221111
0010001000100010001000100010001000101010101010101010101010202020202020202020202020101010102200220011101110111011101110111022012201220122012201220122011220122012201220122012202120212021202120212021202120212011112112211221122112211221122112221122112222
1100000000000011111111222222222222000000001111111122222222000011211121112122122212001111221212121200001111111122222222222200000000000012111211212221220000000011211121221222120000000012211221122121122112211200110000000011121112222122212221121212120012

projective group of automorphisms generated by:
00010
10000
01000
00100
00001