Prime p₀= 2164014172510211687 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Landjunge
db: batch=81, k=10, 2 10 2 28 2

STPT(10)	2164012913248253297	0 2 24 26 42 44 60 62 84 86	-1259261958390
SPT(16)	2164013034733437733	0 6 54 66 124 154 240 244 300 304 390 420 478 490 538 544	-1137776773954
STPT(10)	2164013405763645617	0 2 30 32 42 44 54 56 84 86	-766746566070
STPT(10)	2164013749990383869	0 2 48 50 90 92 132 134 180 182	-422519827818
SPT(16)	2164013946413891471	0 26 78 102 152 176 186 228 260 302 312 336 386 410 462 488	-226096320216
SPT(16)	2164013959822616359	0 34 54 72 90 112 142 190 252 300 330 352 370 388 408 442	-212687595328
SPT(16)	2164014595836967663	0 88 108 136 174 186 214 220 234 240 268 280 318 346 366 454	423326755976
SPT(16)	2164014785260065317	0 32 56 72 86 116 140 144 152 156 180 210 224 240 264 296	612749853630
TPT(14)	2164015011740807411	0 2 30 32 90 92 168 170 180 182 336 338 348 350	839230595724
SPT(16)	2164015071994920769	0 4 22 48 72 78 88 102 160 174 184 190 214 240 258 262	899484709082
SPT(16)	2164015168352819381	0 8 32 36 42 108 140 150 158 168 200 266 272 276 300 308	995842607694