length n = 183
dimension k = 4
alphabet length q = 3

minimum distance d = 123

generator matrix:
000000000000000000000000000000000000000000000000000000000000111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
000000110110110110011110011110011110011110011111111111111111000000000000001201201201200112200112200112200112200112201201201201200112200112200112200112200112211111111111112222222222222
000001121121121121111221111221111221111221111220000000000000000000000000011111111111111111111111111111111111111111122222222222222222222222222222222222222222200000000000000000000000000
111110000000000001212121212121212121212121212120001212121212000121212121200000000000012121212121212121212121212121200000000000012121212121212121212121212121200012121212120001212121212

projective group of automorphisms generated by:
2000
0210
0020
0001