Prime p₀= 797321011690334057 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 88 2 40 2 40 2 88 2 (?)
a_n: 0 2 90 92 132 134 174 176 264 266
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: 266
Found by: eeeeee
db: batch=73, k=10, 2 88 2 40 2

SPT(13)	797320160779710707	0 24 84 90 126 144 150 156 174 210 216 276 300	-850910623350
STPT(10)	797320409268849281	0 2 6 8 48 50 90 92 96 98	-602421484776
SPT(16)	797320434251106683	0 54 126 150 176 194 228 276 338 386 420 438 464 488 560 614	-577439227374
SPT(16)	797320710695344907	0 2 42 44 102 152 156 180 296 320 324 374 432 434 474 476	-300994989150
SPT(16)	797320839466370893	0 18 34 58 78 84 130 190 198 258 304 310 330 354 370 388	-172223963164
STPT(10)	797320909442094941	0 2 36 38 78 80 120 122 156 158	-102248239116
STPT(10)	797321096811316289	0 2 42 44 60 62 78 80 120 122	85120982232
SPT(16)	797321480324999671	0 16 40 42 70 82 118 126 142 150 186 198 226 228 252 268	468634665614
SPT(13)	797321705132901779	0 42 78 138 180 210 270 330 360 402 462 498 540	693442567722
SPT(16)	797322088660977349	0 28 72 94 108 114 208 240 292 324 418 424 438 460 504 532	1076970643292
SPT(16)	797322091194427979	0 14 24 32 48 110 140 164 168 192 222 284 300 308 318 332	1079504093922