Prime p₀= 2659994194055978831 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 38
Found by: JayPi
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2659993369304628941	0 20 30 48 80 128 176 188 198 210 258 306 338 356 366 386	-824751349890
STPT(10)	2659993369567453571	0 2 36 38 78 80 120 122 156 158	-824488525260
TPT(14)	2659993787527546271	0 2 48 50 60 62 90 92 96 98 138 140 180 182	-406528432560
STPT(10)	2659993803465060611	0 2 6 8 48 50 90 92 96 98	-390590918220
STPT(10)	2659993842053862791	0 2 36 38 78 80 120 122 156 158	-352002116040
STPT(10)	2659993976158014701	0 2 6 8 18 20 30 32 36 38	-217897964130
STPT(10)	2659994794221299609	0 2 42 44 90 92 138 140 180 182	600165320778
SPT(16)	2659994836388036557	0 4 22 54 60 70 106 142 144 180 216 226 232 264 282 286	642332057726
STPT(10)	2659995415742331167	0 2 12 14 72 74 132 134 144 146	1221686352336
TPT(14)	2659995899508027317	0 2 30 32 144 146 210 212 264 266 282 284 312 314	1705452048486
SPT(16)	2659996350655887689	0 8 32 62 78 92 98 102 140 144 150 164 180 210 234 242	2156599908858