Prime p₀= 816525206495705417 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: [SG]FX
db: batch=73, k=10, 2 10 2 28 2

STPT(10)	816523743192471047	0 2 24 26 42 44 60 62 84 86	-1463303234370
SPT(16)	816523898963252219	0 98 180 192 194 264 302 308 384 390 428 498 500 512 594 692	-1307532453198
SPT(16)	816524220193331941	0 30 76 106 118 130 156 162 166 172 198 210 222 252 298 328	-986302373476
SPT(16)	816524871217970801	0 6 18 50 102 120 132 138 230 236 248 266 318 350 362 368	-335277734616
TPT(14)	816524988232844159	0 2 78 80 90 92 150 152 252 254 330 332 360 362	-218262861258
SPT(16)	816525081226080403	0 30 48 78 88 100 160 168 190 198 258 270 280 310 328 358	-125269625014
TPT(14)	816525465427498997	0 2 30 32 42 44 132 134 162 164 300 302 384 386	258931793580
STPT(10)	816525524782601069	0 2 42 44 60 62 78 80 120 122	318286895652
STPT(10)	816525581247579389	0 2 42 44 90 92 138 140 180 182	374751873972
SPT(16)	816525726793860079	0 10 24 58 78 124 154 198 244 288 318 364 384 418 432 442	520298154662
SPT(16)	816525733743965353	0 6 28 36 78 124 154 166 198 210 240 286 328 336 358 364	527248259936