Prime p₀= 1302712458445035731 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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=77, k=10, 2 28 2 28 2

STPT(10)	1302711739619412971	0 2 30 32 60 62 90 92 120 122	-718825622760
STPT(10)	1302711781644699869	0 2 42 44 60 62 78 80 120 122	-676800335862
SPT(16)	1302711958637621837	0 26 56 92 104 116 144 180 266 302 330 342 354 390 420 446	-499807413894
STPT(10)	1302712139921435939	0 2 48 50 90 92 132 134 180 182	-318523599792
STPT(10)	1302712273608073967	0 2 60 62 72 74 84 86 144 146	-184836961764
SPT(16)	1302712313324443849	0 10 42 64 72 84 94 120 142 168 178 190 198 220 252 262	-145120591882
SPT(16)	1302712790652459037	0 10 22 46 60 76 112 124 132 144 180 196 210 234 246 256	332207423306
SPT(16)	1302712816926102199	0 28 48 70 90 102 142 168 244 270 310 322 342 364 384 412	358481066468
STPT(10)	1302713010631228949	0 2 18 20 30 32 42 44 60 62	552186193218
STPT(10)	1302714606881076281	0 2 6 8 48 50 90 92 96 98	2148436040550
SPT(16)	1302714695990045159	0 42 50 122 132 150 182 188 252 258 290 308 318 390 398 440	2237545009428