Prime p₀= 2161161816088756469 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: Landjunge
db: batch=81, k=10, 2 16 2 10 2

TPT(14)	2161160235196444217	0 2 30 32 84 86 204 206 234 236 264 266 282 284	-1580892312252
STPT(10)	2161160371358446721	0 2 6 8 48 50 90 92 96 98	-1444730309748
STPT(10)	2161160620041906137	0 2 30 32 72 74 114 116 144 146	-1196046850332
SPT(16)	2161161424479309913	0 6 40 100 126 136 150 156 160 166 180 190 216 276 310 316	-391609446556
SPT(16)	2161161628053467719	0 4 28 42 88 120 198 240 262 304 382 414 460 474 498 502	-188035288750
SPT(16)	2161161791988438269	0 8 18 32 42 92 120 140 162 182 210 260 270 284 294 302	-24100318200
STPT(10)	2161162400452561967	0 2 24 26 42 44 60 62 84 86	584363805498
SPT(16)	2161163015373981469	0 78 90 100 112 120 144 198 214 268 292 300 312 322 334 412	1199285225000
STPT(10)	2161163234288458427	0 2 30 32 42 44 54 56 84 86	1418199701958
TPT(14)	2161163576311182227	0 2 12 14 42 44 54 56 180 182 330 332 402 404	1760222425758
TPT(14)	2161163737227545747	0 2 30 32 90 92 114 116 132 134 180 182 222 224	1921138789278