Prime p₀= 2799116219062730009 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: JayPi
db: batch=82, k=10, 2 16 2 40 2

SPT(16)	2799113378337391639	0 30 72 142 154 220 238 304 318 384 402 468 480 550 592 622	-2840725338370
SPT(16)	2799113812122061619	0 8 12 30 42 50 128 162 230 264 342 350 362 380 384 392	-2406940668390
STPT(10)	2799114020164031957	0 2 72 74 102 104 132 134 204 206	-2198898698052
STPT(10)	2799114602452260941	0 2 36 38 78 80 120 122 156 158	-1616610469068
STPT(12)	2799115177450785689	0 2 60 62 72 74 138 140 150 152 210 212	-1041611944320
SPT(16)	2799115783245156961	0 22 76 126 160 196 256 270 322 336 396 432 466 516 570 592	-435817573048
SPT(16)	2799116453731998041	0 26 50 96 110 140 146 222 230 306 312 342 356 402 426 452	234669268032
STPT(10)	2799116538100577657	0 2 30 32 42 44 54 56 84 86	319037847648
SPT(16)	2799116634368591609	0 42 48 80 98 114 132 134 198 200 218 234 252 284 290 332	415305861600
STPT(10)	2799116702259140909	0 2 48 50 60 62 72 74 120 122	483196410900
STPT(10)	2799116937684182411	0 2 6 8 18 20 30 32 36 38	718621452402