Prime p₀= 2323310057679226079 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 10 2 10 2 46 2 (?)
a_n: 0 2 48 50 60 62 72 74 120 122
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: eclipse99
db: batch=81, k=10, 2 46 2 10 2

TPT(14)	2323308407243561369	0 2 102 104 162 164 168 170 228 230 258 260 288 290	-1650435664710
SPT(16)	2323308658772287387	0 40 64 70 90 94 120 196 354 430 456 460 480 486 510 550	-1398906938692
SPT(16)	2323309057377274969	0 18 22 34 70 78 88 160 162 234 244 252 288 300 304 322	-1000301951110
STPT(10)	2323309267147008599	0 2 18 20 30 32 42 44 60 62	-790532217480
TPT(14)	2323309781040461921	0 2 30 32 36 38 66 68 78 80 120 122 180 182	-276638764158
STPT(10)	2323309827801435659	0 2 18 20 30 32 42 44 60 62	-229877790420
TPT(14)	2323310274542064149	0 2 12 14 60 62 138 140 168 170 192 194 198 200	216862838070
SPT(16)	2323310499538195261	0 6 12 22 40 42 48 76 162 190 196 198 216 226 232 238	441858969182
TPT(14)	2323310703416911601	0 2 96 98 156 158 180 182 198 200 306 308 330 332	645737685522
SPT(16)	2323310788213163909	0 14 42 108 128 144 168 212 270 314 338 354 374 440 468 482	730533937830
SPT(16)	2323310806567936511	0 2 30 56 78 86 120 146 162 188 222 230 252 278 306 308	748888710432