length n = 105
dimension k = 5
alphabet length q = 5

minimum distance d = 80

generator matrix:
000000111100001111111111111111000011111111111111110111111111111111111111111111111111111111111111111111111
000111000111110000112223334444111100001122223333441014411222222333333444444112223334411222222333333444444
011001001013341334440240120023223322330012341234004401422233334124444122334341241232344123344122344222333
101010010032444122033001423440141423232304100140231440134344443231234223122233124214323441333412422334224
110100100042123424302344001201322341143230022003234144043412341442222334233232343142132334424244234133122

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

01000
00100
00001
00010
10000