Prime p₀= 1006314974653221029 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: Theadalus
db: batch=76, k=10, 2 16 2 10 2

SPT(16)	1006313739285926329	0 4 18 42 88 108 124 150 172 198 214 234 280 304 318 322	-1235367294700
TPT(14)	1006313915335277051	0 2 60 62 126 128 150 152 180 182 228 230 240 242	-1059317943978
SPT(16)	1006313961781052767	0 22 40 94 96 124 142 154 192 204 222 250 252 306 324 346	-1012872168262
STPT(10)	1006314113784956069	0 2 30 32 60 62 90 92 120 122	-860868264960
STPT(10)	1006314350465447459	0 2 42 44 60 62 78 80 120 122	-624187773570
SPT(16)	1006314830235955949	0 8 20 38 42 48 140 150 200 210 302 308 312 330 342 350	-144417265080
SPT(16)	1006315157796831739	0 28 30 114 120 148 160 184 258 282 294 322 328 412 414 442	183143610710
SPT(16)	1006315566656133917	0 30 42 96 120 140 162 176 186 200 222 242 266 320 332 362	592002912888
TPT(14)	1006315783703718377	0 2 42 44 114 116 162 164 180 182 192 194 204 206	809050497348
SPT(16)	1006315814475198949	0 18 24 88 94 100 124 130 192 198 222 228 234 298 304 322	839821977920
SPT(16)	1006316041639497191	0 32 56 96 102 186 212 240 248 276 302 386 392 432 456 488	1066986276162