Prime p₀= 2316505722445063517 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Dirk Broer
db: batch=81, k=10, 2 28 2 10 2

STPT(10)	2316504841546884797	0 2 54 56 72 74 90 92 144 146	-880898178720
SPT(16)	2316504899323955513	0 18 20 24 26 56 90 108 176 194 228 258 260 264 266 284	-823121108004
STPT(10)	2316505086700310291	0 2 30 32 60 62 90 92 120 122	-635744753226
SPT(16)	2316505118798343829	0 70 82 94 100 124 130 154 168 192 198 222 228 240 252 322	-603646719688
SPT(16)	2316505441386074693	0 14 54 66 138 188 200 228 236 264 276 326 398 410 450 464	-281058988824
STPT(10)	2316505473016407851	0 2 6 8 48 50 90 92 96 98	-249428655666
STPT(10)	2316505841296051421	0 2 90 92 210 212 330 332 420 422	118850987904
SPT(16)	2316506003476557551	0 92 96 98 138 152 222 240 248 266 336 350 390 392 396 488	281031494034
SPT(16)	2316506003659571617	0 6 36 102 130 196 204 222 244 262 270 336 364 430 460 466	281214508100
SPT(16)	2316506441574429719	0 30 38 42 62 72 140 150 290 300 368 378 398 402 410 440	719129366202
STPT(10)	2316507152289960569	0 2 18 20 30 32 42 44 60 62	1429844897052