Prime p₀= 2767433020845669269 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: gemini8
db: batch=82, k=10, 2 40 2 16 2

STPT(12)	2767430466431821469	0 2 30 32 102 104 108 110 180 182 210 212	-2554413847800
STPT(10)	2767430650960397879	0 2 78 80 120 122 162 164 240 242	-2369885271390
STPT(10)	2767431723831193787	0 2 30 32 42 44 54 56 84 86	-1297014475482
STPT(10)	2767432266035812259	0 2 78 80 150 152 222 224 300 302	-754809857010
STPT(10)	2767432373306660999	0 2 18 20 60 62 102 104 120 122	-647539008270
STPT(10)	2767432495941624281	0 2 36 38 138 140 240 242 276 278	-524904044988
SPT(16)	2767433132959684841	0 18 26 86 98 108 116 152 156 192 200 210 222 282 290 308	112114015572
SPT(16)	2767433331914716249	0 24 30 52 142 154 210 220 354 364 420 432 522 544 550 574	311069046980
STPT(10)	2767433517206697509	0 2 18 20 30 32 42 44 60 62	496361028240
SPT(16)	2767433885135653519	0 18 22 52 88 118 120 130 132 142 144 174 210 240 244 262	864289984250
SPT(16)	2767434063536486777	0 72 116 164 186 206 234 242 264 272 300 320 342 390 434 506	1042690817508