Prime p₀= 2501766274091639057 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: Groo
db: batch=82, k=10, 2 22 2 16 2

STPT(10)	2501764660791312611	0 2 36 38 78 80 120 122 156 158	-1613300326446
STPT(10)	2501765598420372377	0 2 30 32 60 62 90 92 120 122	-675671266680
STPT(10)	2501765618936162627	0 2 42 44 72 74 102 104 144 146	-655155476430
STPT(10)	2501765722136308721	0 2 30 32 60 62 90 92 120 122	-551955330336
STPT(10)	2501766184592457281	0 2 36 38 78 80 120 122 156 158	-89499181776
SPT(16)	2501766211640143793	0 36 78 104 144 156 168 170 204 206 218 230 270 296 338 374	-62451495264
STPT(10)	2501767005322893227	0 2 54 56 192 194 330 332 384 386	731231254170
SPT(16)	2501767235226958481	0 38 96 98 122 132 158 206 252 300 326 336 360 362 420 458	961135319424
SPT(16)	2501767375246350301	0 10 100 126 168 180 198 216 220 238 256 268 310 336 426 436	1101154711244
STPT(10)	2501767833391297319	0 2 30 32 60 62 90 92 120 122	1559299658262
STPT(10)	2501767853653327067	0 2 54 56 72 74 90 92 144 146	1579561688010