Prime p₀= 2497602344758178549 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: [SG-FC] hl
db: batch=82, k=10, 2 10 2 76 2

SPT(16)	2497599473246572729	0 4 28 30 48 88 118 124 144 150 180 220 238 240 264 268	-2871511605820
STPT(10)	2497599549262061339	0 2 18 20 30 32 42 44 60 62	-2795496117210
SPT(16)	2497600333095345437	0 14 36 50 60 66 164 182 204 222 320 326 336 350 372 386	-2011662833112
SPT(16)	2497600561581204971	0 2 26 36 42 50 92 146 162 216 258 266 272 282 306 308	-1783176973578
SPT(16)	2497601246161812431	0 20 50 60 78 98 120 182 258 320 342 362 380 390 420 440	-1098596366118
TPT(14)	2497602020481595019	0 2 42 44 102 104 168 170 252 254 408 410 462 464	-324276583530
STPT(10)	2497602430566750047	0 2 30 32 72 74 114 116 144 146	85808571498
STPT(10)	2497602472132953431	0 2 36 38 78 80 120 122 156 158	127374774882
STPT(10)	2497603025489605091	0 2 36 38 78 80 120 122 156 158	680731426542
SPT(16)	2497603110959597497	0 6 36 42 52 64 76 94 132 150 162 174 184 190 220 226	766201418948
STPT(10)	2497603293366202001	0 2 36 38 78 80 120 122 156 158	948608023452