Prime p₀= 2582669446867710659 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: Paul
db: batch=82, k=10, 2 16 2 10 2

STPT(10)	2582668285957629209	0 2 18 20 30 32 42 44 60 62	-1160910081450
SPT(16)	2582668287914660191	0 10 58 70 78 102 162 220 240 298 358 382 390 402 450 460	-1158953050468
SPT(16)	2582668513671627631	0 18 60 78 112 118 120 148 150 178 180 186 220 238 280 298	-933196083028
STPT(10)	2582669174628763271	0 2 6 8 18 20 30 32 36 38	-272238947388
TPT(14)	2582669214963874451	0 2 48 50 60 62 120 122 198 200 228 230 288 290	-231903836208
STPT(10)	2582669392313776991	0 2 36 38 78 80 120 122 156 158	-54553933668
SPT(16)	2582669711273670401	0 26 56 110 162 192 230 236 246 252 290 320 372 426 456 482	264405959742
SPT(16)	2582669872805864377	0 34 60 72 90 106 126 130 156 160 180 196 214 226 252 286	425938153718
STPT(10)	2582670391944484739	0 2 18 20 30 32 42 44 60 62	945076774080
STPT(10)	2582670599944215761	0 2 30 32 78 80 126 128 156 158	1153076505102
STPT(10)	2582670663600196529	0 2 42 44 90 92 138 140 180 182	1216732485870