Prime p₀= 2591422903582366727 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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-FC] hl
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2591422002114354847	0 12 34 54 64 84 130 154 180 204 250 270 280 300 322 334	-901468011880
SPT(16)	2591422226786093171	0 8 50 56 66 80 98 126 182 210 228 242 252 258 300 308	-676796273556
STPT(10)	2591422633568704721	0 2 30 32 60 62 90 92 120 122	-270013662006
STPT(10)	2591422666745875481	0 2 30 32 78 80 126 128 156 158	-236836491246
SPT(16)	2591422681194475517	0 42 60 72 90 102 104 132 182 210 212 224 242 254 272 314	-222387891210
STPT(10)	2591422886677480187	0 2 54 56 192 194 330 332 384 386	-16904886540
SPT(16)	2591422972296745849	0 42 94 114 150 190 210 268 294 352 372 412 448 468 520 562	68714379122
STPT(10)	2591423669288174561	0 2 36 38 78 80 120 122 156 158	765705807834
STPT(12)	2591423833035007361	0 2 108 110 150 152 156 158 198 200 306 308	929452640634
STPT(10)	2591424215289124487	0 2 30 32 42 44 54 56 84 86	1311706757760
STPT(10)	2591424813688597091	0 2 6 8 18 20 30 32 36 38	1910106230364