Prime p₀= 1251904753988622059 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Cruncher Pete
db: batch=77, k=10, 2 16 2 10 2

SPT(16)	1251903426997994591	0 8 20 30 56 90 140 168 260 288 338 372 398 408 420 428	-1326990627468
SPT(16)	1251903574076676349	0 48 178 184 222 264 288 322 330 364 388 430 468 474 604 652	-1179911945710
TPT(14)	1251903652396710581	0 2 6 8 30 32 246 248 270 272 300 302 336 338	-1101591911478
SPT(16)	1251903656841260359	0 4 60 94 102 160 180 214 258 292 312 370 378 412 468 472	-1097147361700
SPT(16)	1251904497777331249	0 42 52 60 82 118 130 150 190 210 222 258 280 288 298 340	-256211290810
STPT(10)	1251904547449644587	0 2 42 44 72 74 102 104 144 146	-206538977472
SPT(16)	1251905082003862309	0 4 24 28 72 102 112 114 148 150 160 190 234 238 258 262	328015240250
STPT(10)	1251905344559637137	0 2 30 32 42 44 54 56 84 86	590571015078
STPT(10)	1251905582506751057	0 2 30 32 72 74 114 116 144 146	828518128998
SPT(16)	1251905679680468119	0 4 10 28 48 132 228 234 238 244 340 424 444 462 468 472	925691846060
SPT(16)	1251905910630072083	0 14 38 50 78 150 198 206 378 386 434 506 534 546 570 584	1156641450024