Prime p₀= 2157099152265798107 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 88 2 88 2 40 2 (?)
a_n: 0 2 42 44 132 134 222 224 264 266
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: 266
Found by: Landjunge
db: batch=81, k=10, 2 40 2 88 2

SPT(16)	2157097511484810133	0 4 18 30 54 64 78 88 96 106 120 130 154 166 180 184	-1640780987974
SPT(20)	2157097864007368391	0 2 6 32 42 90 128 132 140 168 200 228 236 240 278 326 336 362 366 368	-1288258429716
TPT(14)	2157097964625155471	0 2 78 80 96 98 168 170 258 260 318 320 498 500	-1187640642636
SPT(16)	2157098255591809297	0 54 84 126 172 180 192 204 262 274 286 294 340 382 412 466	-896673988810
STPT(12)	2157098300484016739	0 2 12 14 42 44 48 50 78 80 90 92	-851781781368
TPT(14)	2157098745184517879	0 2 42 44 108 110 132 134 162 164 222 224 288 290	-407081280228
SPT(16)	2157100780891005497	0 44 60 140 144 170 174 192 224 242 246 272 276 356 372 416	1628625207390
SPT(16)	2157100874223456617	0 2 24 44 60 74 84 92 144 152 162 176 192 212 234 236	1721957658510
STPT(10)	2157101147511889919	0 2 18 20 30 32 42 44 60 62	1995246091812
STPT(10)	2157101551358940911	0 2 6 8 48 50 90 92 96 98	2399093142804
SPT(16)	2157102194988862369	0 34 54 78 112 124 174 190 252 268 318 330 364 388 408 442	3042723064262