Prime p₀= 2099436196935877139 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: gemini8
db: batch=80, k=10, 2 16 2 10 2

SPT(16)	2099434915375326833	0 6 14 78 84 96 108 146 168 206 218 230 236 300 308 314	-1281560550306
SPT(16)	2099434960764619453	0 6 10 30 34 66 78 118 156 196 208 240 244 264 268 274	-1236171257686
SPT(16)	2099435014115958473	0 6 30 36 66 104 128 140 204 216 240 278 308 314 338 344	-1182819918666
SPT(16)	2099435431691654831	0 32 62 90 92 102 120 140 168 188 206 216 218 246 276 308	-765244222308
STPT(10)	2099435447567058479	0 2 48 50 90 92 132 134 180 182	-749368818660
SPT(16)	2099435739541899673	0 6 28 48 78 166 180 210 334 364 378 466 496 516 538 544	-457393977466
SPT(16)	2099436281041723159	0 40 48 70 148 174 198 204 208 214 238 264 342 364 372 412	84105846020
TPT(14)	2099436766978192907	0 2 72 74 114 116 150 152 234 236 264 266 282 284	570042315768
SPT(16)	2099436824068577129	0 38 50 54 80 92 114 120 182 188 210 222 248 252 264 302	627132699990
STPT(10)	2099436913272982397	0 2 90 92 102 104 114 116 204 206	716337105258
STPT(10)	2099436974837794349	0 2 18 20 30 32 42 44 60 62	777901917210