Prime p₀= 2222348544464683931 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Penguin
db: batch=81, k=10, 2 4 2 10 2

STPT(10)	2222347540006869101	0 2 30 32 78 80 126 128 156 158	-1004457814830
STPT(10)	2222347728170189531	0 2 6 8 18 20 30 32 36 38	-816294494400
SPT(16)	2222348059443637843	0 16 70 100 168 208 280 328 336 384 456 496 564 594 648 664	-485021046088
STPT(10)	2222348131360579301	0 2 30 32 78 80 126 128 156 158	-413104104630
SPT(16)	2222348338728448841	0 32 78 80 96 150 210 212 276 278 338 392 408 410 456 488	-205736235090
TPT(14)	2222348360252254601	0 2 6 8 96 98 108 110 246 248 288 290 300 302	-184212429330
STPT(10)	2222348657245079729	0 2 42 44 60 62 78 80 120 122	112780395798
TPT(14)	2222348762917700141	0 2 6 8 18 20 48 50 60 62 96 98 138 140	218453016210
STPT(10)	2222348783510314097	0 2 60 62 72 74 84 86 144 146	239045630166
SPT(16)	2222349034329130027	0 6 10 24 76 112 124 154 192 222 234 270 322 336 340 346	489864446096
SPT(16)	2222349102878168123	0 30 54 74 126 170 194 210 254 270 294 338 390 410 434 464	558413484192