Prime p₀= 2068572384029461337 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Cruncher Pete
db: batch=80, k=10, 2 22 2 16 2

STPT(10)	2068571157750047021	0 2 36 38 78 80 120 122 156 158	-1226279414316
SPT(16)	2068571347606858097	0 2 26 42 50 72 84 86 90 92 104 126 134 150 174 176	-1036422603240
STPT(10)	2068571461353596201	0 2 30 32 60 62 90 92 120 122	-922675865136
STPT(10)	2068571522766210101	0 2 6 8 48 50 90 92 96 98	-861263251236
SPT(16)	2068571578899939521	0 18 78 108 126 150 170 176 282 288 308 332 350 380 440 458	-805129521816
TPT(14)	2068571896834962851	0 2 66 68 78 80 96 98 138 140 210 212 258 260	-487194498486
SPT(16)	2068572585224441167	0 46 102 154 166 190 204 216 280 292 306 330 342 394 450 496	201194979830
SPT(16)	2068572664126598527	0 16 34 36 76 84 102 132 184 214 232 240 280 282 300 316	280097137190
STPT(10)	2068572706328627297	0 2 30 32 42 44 54 56 84 86	322299165960
SPT(16)	2068572823525557989	0 12 48 50 84 92 110 122 150 162 180 188 222 224 260 272	439496096652
STPT(10)	2068573037291337677	0 2 42 44 72 74 102 104 144 146	653261876340