Prime p₀= 2767433517206697509 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: gemini8
db: batch=82, k=10, 2 16 2 10 2

STPT(10)	2767432266035812259	0 2 78 80 150 152 222 224 300 302	-1251170885250
STPT(10)	2767432373306660999	0 2 18 20 60 62 102 104 120 122	-1143900036510
STPT(10)	2767432495941624281	0 2 36 38 138 140 240 242 276 278	-1021265073228
STPT(10)	2767433020845669269	0 2 42 44 60 62 78 80 120 122	-496361028240
SPT(16)	2767433132959684841	0 18 26 86 98 108 116 152 156 192 200 210 222 282 290 308	-384247012668
SPT(16)	2767433331914716249	0 24 30 52 142 154 210 220 354 364 420 432 522 544 550 574	-185291981260
SPT(16)	2767433885135653519	0 18 22 52 88 118 120 130 132 142 144 174 210 240 244 262	367928956010
SPT(16)	2767434063536486777	0 72 116 164 186 206 234 242 264 272 300 320 342 390 434 506	546329789268
SPT(16)	2767434241181464847	0 14 90 110 126 132 146 150 266 270 284 290 306 326 402 416	723974767338
STPT(10)	2767434265467127769	0 2 42 44 60 62 78 80 120 122	748260430260
TPT(14)	2767434271731890609	0 2 90 92 120 122 210 212 252 254 270 272 330 332	754525193100