Prime p₀= 2327713565915593157 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: Orange Kid
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2327712226684658183	0 56 90 96 126 146 174 230 264 320 348 368 398 404 438 494	-1339230934974
STPT(10)	2327712477506133899	0 2 18 20 30 32 42 44 60 62	-1088409459258
STPT(12)	2327712538877997389	0 2 138 140 180 182 198 200 240 242 378 380	-1027037595768
STPT(10)	2327712897557317967	0 2 54 56 72 74 90 92 144 146	-668358275190
SPT(16)	2327713104155988103	0 76 114 126 196 210 234 256 258 280 304 318 388 400 438 514	-461759605054
TPT(14)	2327713164056136509	0 2 48 50 72 74 78 80 102 104 162 164 168 170	-401859456648
SPT(18)	2327713590575308093	0 28 48 78 168 186 246 286 288 298 300 340 400 418 508 538 558 586	24659714936
STPT(10)	2327714380875128801	0 2 6 8 48 50 90 92 96 98	814959535644
SPT(18)	2327714454572521081	0 6 40 46 72 100 118 156 160 168 172 210 228 256 282 288 322 328	888656927924
SPT(16)	2327714459145323821	0 16 42 72 82 160 172 226 282 336 348 426 436 466 492 508	893229730664
SPT(16)	2327714894724962461	0 6 10 36 88 102 136 138 160 162 196 210 262 288 292 298	1328809369304