Prime p₀= 2678447389182685961 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: JayPi
db: batch=82, k=10, 2 34 2 40 2

SPT(16)	2678445091694604461	0 8 20 26 42 48 56 78 80 102 110 116 132 138 150 158	-2297488081500
TPT(14)	2678445134271982919	0 2 42 44 60 62 72 74 138 140 198 200 348 350	-2254910703042
SPT(16)	2678445933004329149	0 54 78 84 102 128 134 180 242 288 294 320 338 344 368 422	-1456178356812
SPT(18)	2678445984074619257	0 6 42 50 74 116 120 134 186 200 252 266 270 312 336 344 380 386	-1405108066704
SPT(16)	2678446671539979421	0 22 28 30 82 90 100 132 148 180 190 198 250 252 258 280	-717642706540
STPT(10)	2678446833387887459	0 2 18 20 30 32 42 44 60 62	-555794798502
STPT(10)	2678448080012843597	0 2 30 32 42 44 54 56 84 86	690830157636
STPT(10)	2678448569739933719	0 2 42 44 120 122 198 200 240 242	1180557247758
STPT(10)	2678449013412379637	0 2 42 44 132 134 222 224 264 266	1624229693676
SPT(16)	2678449193813312659	0 10 28 34 48 64 78 82 120 124 138 154 168 174 192 202	1804630626698
STPT(10)	2678449591474956107	0 2 30 32 42 44 54 56 84 86	2202292270146