Prime p₀= 747819914140587317 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: [SG]steini
db: batch=73, k=10, 2 10 2 28 2

STPT(10)	747818360403815681	0 2 36 38 78 80 120 122 156 158	-1553736771636
SPT(16)	747818681345067799	0 12 42 78 82 90 148 150 190 192 250 258 262 298 328 340	-1232795519518
SPT(16)	747819151358604671	0 2 8 92 140 210 216 222 296 302 308 378 426 510 516 518	-762781982646
SPT(16)	747819158183047913	0 36 54 110 144 158 186 240 284 338 366 380 414 470 488 524	-755957539404
STPT(10)	747819257575782011	0 2 138 140 168 170 198 200 336 338	-656564805306
SPT(16)	747819279718589479	0 18 60 90 100 150 172 232 240 300 322 372 382 412 454 472	-634421997838
SPT(16)	747820416203876611	0 40 52 96 166 172 178 180 268 270 276 282 352 396 408 448	502063289294
STPT(10)	747820647290077817	0 2 30 32 42 44 54 56 84 86	733149490500
SPT(20)	747820759802929801	0 28 48 70 72 102 118 120 132 162 196 226 238 240 256 286 288 310 330 358	845662342484
STPT(10)	747821022657725477	0 2 24 26 42 44 60 62 84 86	1108517138160
STPT(10)	747821473516392797	0 2 30 32 42 44 54 56 84 86	1559375805480