Prime p₀= 2700297499826412929 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: JayPi
db: batch=82, k=10, 2 40 2 16 2

SPT(16)	2700295375692495901	0 78 90 132 168 190 192 228 262 298 300 322 358 400 412 490	-2124133917028
STPT(10)	2700295695749161589	0 2 48 50 60 62 72 74 120 122	-1804077251340
SPT(16)	2700296136600296177	0 6 116 140 150 290 300 314 336 350 360 500 510 534 644 650	-1363226116752
STPT(10)	2700296583329628539	0 2 12 14 90 92 168 170 180 182	-916496784390
SPT(16)	2700296954324414057	0 84 90 126 134 140 156 170 186 200 216 222 230 266 272 356	-545501998872
SPT(16)	2700297241923751357	0 4 24 54 60 66 82 112 114 144 160 166 172 202 222 226	-257902661572
STPT(10)	2700297867856137719	0 2 18 20 30 32 42 44 60 62	368029724790
TPT(14)	2700297970003560959	0 2 48 50 60 62 180 182 240 242 282 284 312 314	470177148030
STPT(10)	2700298508068586837	0 2 24 26 42 44 60 62 84 86	1008242173908
TPT(14)	2700298588420717967	0 2 102 104 114 116 174 176 270 272 282 284 354 356	1088594305038
SPT(16)	2700298706825194529	0 68 92 110 158 182 222 252 260 290 330 354 402 420 444 512	1206998781600