Prime p₀= 2726677610021746487 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-FC] hl
db: batch=82, k=10, 2 10 2 28 2

STPT(10)	2726676288902084327	0 2 12 14 72 74 132 134 144 146	-1321119662160
STPT(10)	2726676325794243419	0 2 42 44 60 62 78 80 120 122	-1284227503068
SPT(16)	2726676456401496503	0 6 66 86 98 134 150 170 204 224 240 276 288 308 368 374	-1153620249984
STPT(10)	2726676956667559967	0 2 30 32 42 44 54 56 84 86	-653354186520
SPT(16)	2726677086392296517	0 20 32 36 60 62 72 132 140 200 210 212 236 240 252 272	-523629449970
SPT(16)	2726677494136950461	0 6 18 42 48 66 90 120 128 158 182 200 206 230 242 248	-115884796026
STPT(10)	2726677828342792019	0 2 132 134 150 152 168 170 300 302	218321045532
SPT(16)	2726678119722104413	0 34 60 76 90 160 166 204 220 258 264 334 348 364 390 424	509700357926
SPT(16)	2726678179510120687	0 22 24 34 42 106 130 190 216 276 300 364 372 382 384 406	569488374200
STPT(10)	2726678957664273497	0 2 30 32 42 44 54 56 84 86	1347642527010
STPT(10)	2726679318515471489	0 2 18 20 30 32 42 44 60 62	1708493725002