Prime p₀= 2509165722135598661 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(13)	2509164762705159719	0 12 30 42 84 114 132 150 180 222 234 252 264	-959430438942
SPT(16)	2509164890063915891	0 2 42 150 152 176 198 210 218 230 252 276 278 386 426 428	-832071682770
SPT(16)	2509165141712679829	0 40 78 88 208 228 288 322 408 442 502 522 642 652 690 730	-580422918832
TPT(14)	2509165168564754639	0 2 18 20 78 80 90 92 102 104 132 134 162 164	-553570844022
STPT(10)	2509165335066521237	0 2 12 14 42 44 72 74 84 86	-387069077424
SPT(16)	2509165384349069737	0 4 70 96 142 184 186 240 256 310 312 354 400 426 492 496	-337786528924
SPT(16)	2509166104752236263	0 24 36 46 60 66 70 78 136 144 148 154 168 178 190 214	382616637602
SPT(16)	2509166258070620989	0 18 70 78 150 178 184 208 210 234 240 268 340 348 400 418	535935022328
STPT(10)	2509166767800655481	0 2 36 38 78 80 120 122 156 158	1045665056820
TPT(14)	2509167238463830661	0 2 36 38 66 68 96 98 120 122 138 140 300 302	1516328232000
SPT(16)	2509167253034988647	0 2 56 114 132 140 150 192 194 236 246 254 272 330 384 386	1530899389986