Prime p₀= 797321096811316289 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: eeeeee
db: batch=73, k=10, 2 40 2 16 2

STPT(10)	797320409268849281	0 2 6 8 48 50 90 92 96 98	-687542467008
SPT(16)	797320434251106683	0 54 126 150 176 194 228 276 338 386 420 438 464 488 560 614	-662560209606
SPT(16)	797320710695344907	0 2 42 44 102 152 156 180 296 320 324 374 432 434 474 476	-386115971382
SPT(16)	797320839466370893	0 18 34 58 78 84 130 190 198 258 304 310 330 354 370 388	-257344945396
STPT(10)	797320909442094941	0 2 36 38 78 80 120 122 156 158	-187369221348
STPT(10)	797321011690334057	0 2 90 92 132 134 174 176 264 266	-85120982232
SPT(16)	797321480324999671	0 16 40 42 70 82 118 126 142 150 186 198 226 228 252 268	383513683382
SPT(13)	797321705132901779	0 42 78 138 180 210 270 330 360 402 462 498 540	608321585490
SPT(16)	797322088660977349	0 28 72 94 108 114 208 240 292 324 418 424 438 460 504 532	991849661060
SPT(16)	797322091194427979	0 14 24 32 48 110 140 164 168 192 222 284 300 308 318 332	994383111690
TPT(14)	797322165062438831	0 2 30 32 96 98 138 140 168 170 210 212 228 230	1068251122542