Prime p₀= 1121590674043473449 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 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: Theadalus
db: batch=76, k=10, 2 10 2 16 2

STPT(10)	1121588195937118991	0 2 6 8 48 50 90 92 96 98	-2478106354458
SPT(16)	1121588223358111493	0 20 48 138 180 266 320 446 468 594 648 734 776 866 894 914	-2450685361956
SPT(16)	1121588415713597317	0 76 84 106 120 136 204 246 274 316 384 400 414 436 444 520	-2258329876132
STPT(10)	1121588649474379157	0 2 30 32 42 44 54 56 84 86	-2024569094292
STPT(10)	1121588792198388929	0 2 18 20 30 32 42 44 60 62	-1881845084520
SPT(16)	1121588919580318489	0 24 40 54 88 108 112 124 138 150 154 174 208 222 238 262	-1754463154960
SPT(16)	1121590784777783809	0 30 34 48 60 88 90 144 184 238 240 268 280 294 298 328	110734310360
STPT(10)	1121591209523871389	0 2 30 32 120 122 210 212 240 242	535480397940
STPT(10)	1121591343918367871	0 2 6 8 48 50 90 92 96 98	669874894422
STPT(10)	1121591546031259739	0 2 18 20 60 62 102 104 120 122	871987786290
STPT(10)	1121591845217561717	0 2 24 26 42 44 60 62 84 86	1171174088268