Prime p₀= 2330205599162297567 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: 146
Found by: Orange Kid
db: batch=81, k=10, 2 58 2 10 2

SPT(16)	2330204677702500211	0 28 82 88 100 132 142 172 198 228 238 270 282 288 342 370	-921459797356
STPT(10)	2330204808803408819	0 2 42 44 60 62 78 80 120 122	-790358888748
SPT(16)	2330205015478377157	0 66 70 72 96 102 120 130 162 172 190 196 220 222 226 292	-583683920410
STPT(10)	2330205028854026939	0 2 18 20 30 32 42 44 60 62	-570308270628
TPT(14)	2330205224513390801	0 2 78 80 96 98 108 110 120 122 276 278 306 308	-374648906766
STPT(10)	2330205367883285411	0 2 30 32 78 80 126 128 156 158	-231279012156
STPT(10)	2330205779698926917	0 2 60 62 72 74 84 86 144 146	180536629350
SPT(16)	2330205891851730251	0 6 32 56 62 120 126 198 260 332 338 396 402 426 452 458	292689432684
STPT(10)	2330205918915508157	0 2 30 32 42 44 54 56 84 86	319753210590
STPT(10)	2330205927641267747	0 2 30 32 42 44 54 56 84 86	328478970180
SPT(16)	2330206110584497589	0 30 38 72 80 164 192 254 288 350 378 462 470 504 512 542	511422200022