Prime p₀= 2568664509336743729 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Roadranner
db: batch=82, k=10, 2 16 2 10 2

STPT(10)	2568663346218520247	0 2 30 32 72 74 114 116 144 146	-1163118223482
TPT(14)	2568663952070546609	0 2 12 14 42 44 102 104 108 110 180 182 222 224	-557266197120
STPT(10)	2568664144730454227	0 2 30 32 72 74 114 116 144 146	-364606289502
SPT(16)	2568664208764432577	0 2 50 66 102 134 192 242 294 344 402 434 470 486 534 536	-300572311152
STPT(10)	2568664267823359169	0 2 48 50 60 62 72 74 120 122	-241513384560
SPT(16)	2568664311659085821	0 42 48 60 80 108 126 152 186 212 230 258 278 290 296 338	-197677657908
STPT(10)	2568664883022453947	0 2 30 32 42 44 54 56 84 86	373685710218
STPT(10)	2568664920623465327	0 2 42 44 72 74 102 104 144 146	411286721598
TPT(14)	2568664968953467367	0 2 12 14 84 86 90 92 102 104 144 146 222 224	459616723638
TPT(14)	2568665198252369369	0 2 18 20 30 32 60 62 150 152 180 182 228 230	688915625640
STPT(10)	2568665383294326131	0 2 6 8 48 50 90 92 96 98	873957582402