Prime p₀= 2309630721784752209 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: FritzB
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2309628742234520797	0 30 72 114 154 180 184 216 220 252 256 282 322 364 406 436	-1979550231412
SPT(16)	2309628763408426189	0 22 34 48 58 70 78 94 168 184 192 204 214 228 240 262	-1958376326020
STPT(10)	2309628801267584021	0 2 36 38 78 80 120 122 156 158	-1920517168188
SPT(16)	2309629769632066367	0 6 14 26 30 44 54 80 96 122 132 146 150 162 170 176	-952152685842
SPT(16)	2309630163379972817	0 20 30 62 66 96 126 156 350 380 410 440 444 476 486 506	-558404779392
SPT(16)	2309630591309562467	0 14 44 56 62 126 156 174 242 260 290 354 360 372 402 416	-130475189742
SPT(16)	2309630949390295369	0 12 24 28 108 130 132 172 180 220 222 244 324 328 340 352	227605543160
SPT(16)	2309630954441012647	0 4 30 100 102 112 124 130 156 162 174 184 186 256 282 286	232656260438
SPT(16)	2309630965085358749	0 8 32 38 42 50 98 102 230 234 282 290 294 300 324 332	243300606540
STPT(10)	2309631246267722747	0 2 30 32 42 44 54 56 84 86	524482970538
STPT(10)	2309631276987553469	0 2 18 20 30 32 42 44 60 62	555202801260