SSD(27, 3^26) via Theorem 5 (n=3, s=3)

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 1 1 1 1 1 1 1 1 1 0 0 0 0 1 1 1 1 1 1 1 1 1
0 0 0 0 2 2 2 2 2 2 2 2 2 0 0 0 0 2 2 2 2 2 2 2 2 2
0 1 1 1 0 1 2 0 1 2 0 1 2 1 1 2 0 1 1 1 2 2 2 0 0 0
0 1 1 1 1 2 0 1 2 0 1 2 0 1 1 2 0 2 2 2 0 0 0 1 1 1
0 1 1 1 2 0 1 2 0 1 2 0 1 1 1 2 0 0 0 0 1 1 1 2 2 2
0 2 2 2 0 2 1 0 2 1 0 2 1 2 1 0 2 1 1 1 0 0 0 2 2 2
0 2 2 2 1 0 2 1 0 2 1 0 2 2 1 0 2 2 2 2 1 1 1 0 0 0
0 2 2 2 2 1 0 2 1 0 2 1 0 2 1 0 2 0 0 0 2 2 2 1 1 1
1 1 2 0 1 1 1 2 2 2 0 0 0 0 1 1 1 0 1 2 0 1 2 0 1 2
1 1 2 0 2 2 2 0 0 0 1 1 1 0 1 1 1 1 2 0 1 2 0 1 2 0
1 1 2 0 0 0 0 1 1 1 2 2 2 0 1 1 1 2 0 1 2 0 1 2 0 1
1 2 0 1 1 2 0 2 0 1 0 1 2 1 2 0 1 1 2 0 2 0 1 0 1 2
1 2 0 1 2 0 1 0 1 2 1 2 0 1 2 0 1 2 0 1 0 1 2 1 2 0
1 2 0 1 0 1 2 1 2 0 2 0 1 1 2 0 1 0 1 2 1 2 0 2 0 1
1 0 1 2 1 0 2 2 1 0 0 2 1 2 2 1 0 1 2 0 0 1 2 2 0 1
1 0 1 2 2 1 0 0 2 1 1 0 2 2 2 1 0 2 0 1 1 2 0 0 1 2
1 0 1 2 0 2 1 1 0 2 2 1 0 2 2 1 0 0 1 2 2 0 1 1 2 0
2 1 0 2 1 1 1 0 0 0 2 2 2 0 2 2 2 0 2 1 0 2 1 0 2 1
2 1 0 2 2 2 2 1 1 1 0 0 0 0 2 2 2 1 0 2 1 0 2 1 0 2
2 1 0 2 0 0 0 2 2 2 1 1 1 0 2 2 2 2 1 0 2 1 0 2 1 0
2 2 1 0 1 2 0 0 1 2 2 0 1 1 0 1 2 1 0 2 2 1 0 0 2 1
2 2 1 0 2 0 1 1 2 0 0 1 2 1 0 1 2 2 1 0 0 2 1 1 0 2
2 2 1 0 0 1 2 2 0 1 1 2 0 1 0 1 2 0 2 1 1 0 2 2 1 0
2 0 2 1 1 0 2 0 2 1 2 1 0 2 0 2 1 1 0 2 0 2 1 2 1 0
2 0 2 1 2 1 0 1 0 2 0 2 1 2 0 2 1 2 1 0 1 0 2 0 2 1
2 0 2 1 0 2 1 2 1 0 1 0 2 2 0 2 1 0 2 1 2 1 0 1 0 2


Notes: This is a juxtaposition of two OA(27, 13, 3, 2) with overall A2=26. 
The possible projected A2 values are 0, 2/9, 4/9 and 2/3 with frequencies 229, 81, 9 and 6.