Prime p₀= 2531276430492598931 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: [SG-FC] hl
db: batch=82, k=10, 2 4 2 10 2

TPT(14)	2531274903167390447	0 2 72 74 144 146 210 212 240 242 264 266 300 302	-1527325208484
STPT(10)	2531275512231939017	0 2 30 32 42 44 54 56 84 86	-918260659914
SPT(16)	2531275741056042581	0 2 20 72 80 90 96 128 150 182 188 198 206 258 276 278	-689436556350
STPT(10)	2531275827363034649	0 2 42 44 60 62 78 80 120 122	-603129564282
STPT(12)	2531276127584141807	0 2 42 44 60 62 114 116 132 134 174 176	-302908457124
STPT(10)	2531276262649000001	0 2 36 38 78 80 120 122 156 158	-167843598930
STPT(10)	2531276654612249639	0 2 18 20 30 32 42 44 60 62	224119650708
SPT(16)	2531277131115953321	0 12 50 56 62 96 98 132 176 210 212 246 252 258 296 308	700623354390
SPT(16)	2531277138031088807	0 12 26 54 84 120 132 164 222 254 266 302 332 360 374 386	707538489876
STPT(10)	2531277371802949841	0 2 30 32 78 80 126 128 156 158	941310350910
SPT(16)	2531277709334346131	0 8 96 120 126 132 158 222 266 330 356 362 368 392 480 488	1278841747200