Prime p₀= 2323342542222319799 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Landjunge
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2323341425105826271	0 18 28 42 58 60 70 108 130 168 178 180 196 210 220 238	-1117116493528
STPT(10)	2323341656676712499	0 2 42 44 60 62 78 80 120 122	-885545607300
SPT(16)	2323341659458333571	0 36 50 72 78 98 140 158 210 228 270 290 296 318 332 368	-882763986228
SPT(16)	2323341773426944051	0 60 78 88 90 168 172 210 250 288 292 370 372 382 400 460	-768795375748
STPT(10)	2323341954960701177	0 2 24 26 42 44 60 62 84 86	-587261618622
SPT(16)	2323342006422211087	0 24 52 76 106 112 126 150 256 280 294 300 330 354 382 406	-535800108712
SPT(16)	2323342686040072001	0 2 26 30 78 128 140 180 218 258 270 320 368 372 396 398	143817752202
TPT(14)	2323343017645780241	0 2 60 62 66 68 180 182 210 212 270 272 306 308	475423460442
SPT(16)	2323343381781614653	0 4 6 10 18 88 90 108 136 154 156 226 234 238 240 244	839559294854
STPT(10)	2323343945341618007	0 2 12 14 72 74 132 134 144 146	1403119298208
SPT(16)	2323344606215072633	0 8 14 96 98 168 180 204 320 344 356 426 428 510 516 524	2063992752834