Prime p₀= 2157244229851125599 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)	2157243704305868069	0 2 48 50 78 80 90 92 132 134 192 194 258 260	-525545257530
STPT(10)	2157243890374863527	0 2 30 32 42 44 54 56 84 86	-339476262072
SPT(16)	2157244059389893501	0 16 40 60 66 76 96 132 136 172 192 202 208 228 252 268	-170461232098
STPT(10)	2157244117343847359	0 2 42 44 60 62 78 80 120 122	-112507278240
STPT(10)	2157244120091357081	0 2 36 38 78 80 120 122 156 158	-109759768518
SPT(16)	2157244175871079363	0 78 90 124 154 190 216 220 234 238 264 300 330 364 376 454	-53980046236
SPT(16)	2157244590155472959	0 8 38 44 74 78 140 150 218 228 290 294 324 330 360 368	360304347360
STPT(10)	2157244608498508421	0 2 6 8 48 50 90 92 96 98	378647382822
SPT(16)	2157244720331539373	0 20 38 80 84 126 138 156 248 266 278 320 324 366 384 404	490480413774
SPT(16)	2157244843951376381	0 2 26 30 48 96 126 138 140 152 182 230 248 252 276 278	614100250782
TPT(14)	2157244907470851017	0 2 30 32 42 44 54 56 240 242 330 332 360 362	677619725418