Prime p₀= 1431339344583243419 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: Theadalus
db: batch=78, k=10, 2 16 2 40 2

SPT(16)	1431338095505878501	0 16 22 30 78 96 166 198 340 372 442 460 508 516 522 538	-1249077364918
SPT(16)	1431338183967336301	0 28 48 52 72 82 132 150 160 178 228 238 258 262 282 310	-1160615907118
STPT(10)	1431338354376165797	0 2 42 44 72 74 102 104 144 146	-990207077622
STPT(10)	1431338516078730599	0 2 18 20 30 32 42 44 60 62	-828504512820
TPT(14)	1431338974357218107	0 2 390 392 462 464 522 524 660 662 684 686 702 704	-370226025312
SPT(16)	1431339267242374717	0 10 36 42 54 64 112 120 166 174 222 232 244 250 276 286	-77340868702
SPT(16)	1431339404312978891	0 78 86 96 98 120 152 198 230 276 308 330 332 342 350 428	59729735472
SPT(16)	1431339477566010371	0 30 42 56 72 78 120 140 198 218 260 266 282 296 308 338	132982766952
STPT(10)	1431339689744779427	0 2 30 32 42 44 54 56 84 86	345161536008
STPT(10)	1431339853814409347	0 2 30 32 42 44 54 56 84 86	509231165928
SPT(16)	1431340060051862767	0 36 72 102 112 120 132 154 162 184 196 204 214 244 280 316	715468619348