Prime p₀= 2325980357782143659 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: Time_Traveler
db: batch=81, k=10, 2 40 2 16 2

SPT(16)	2325977578062809939	0 14 32 74 80 90 120 240 344 464 494 504 510 552 570 584	-2779719333720
STPT(10)	2325977623804103411	0 2 6 8 18 20 30 32 36 38	-2733978040248
SPT(16)	2325978532185452737	0 42 52 54 66 94 106 124 132 150 162 190 202 204 214 256	-1825596690922
SPT(16)	2325978994891702987	0 4 16 72 82 84 90 106 180 196 202 204 214 270 282 286	-1362890440672
TPT(14)	2325979668825552977	0 2 12 14 30 32 42 44 72 74 180 182 210 212	-688956590682
STPT(10)	2325980092289736227	0 2 42 44 72 74 102 104 144 146	-265492407432
STPT(10)	2325980452596175787	0 2 24 26 42 44 60 62 84 86	94814032128
STPT(10)	2325980696885273927	0 2 30 32 72 74 114 116 144 146	339103130268
SPT(16)	2325980791762463131	0 6 18 36 48 118 156 162 196 202 240 310 322 340 352 358	433980319472
SPT(16)	2325981114853075039	0 10 72 84 132 180 210 240 244 274 304 352 400 412 474 484	757070931380
TPT(14)	2325981194656160729	0 2 78 80 120 122 210 212 228 230 312 314 372 374	836874017070