Prime p₀= 2086345416311458217 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: Landjunge
db: batch=80, k=10, 2 22 2 16 2

SPT(16)	2086343275978406503	0 10 16 24 36 66 78 88 126 136 148 178 190 198 204 214	-2140333051714
SPT(16)	2086343350116280691	0 62 66 72 90 98 128 170 228 270 300 308 326 332 336 398	-2066195177526
SPT(16)	2086343728762048073	0 14 48 66 146 204 206 216 248 258 260 318 398 416 450 464	-1687549410144
STPT(10)	2086344405758073467	0 2 30 32 42 44 54 56 84 86	-1010553384750
STPT(10)	2086344958154390147	0 2 30 32 42 44 54 56 84 86	-458157068070
SPT(16)	2086345366345753687	0 12 30 72 76 96 142 160 192 210 256 276 280 322 340 352	-49965704530
SPT(16)	2086345461586523131	0 10 42 46 82 88 96 112 126 142 150 156 192 196 228 238	45275064914
STPT(10)	2086345970405365301	0 2 6 8 48 50 90 92 96 98	554093907084
STPT(10)	2086346008414677857	0 2 12 14 42 44 72 74 84 86	592103219640
SPT(16)	2086346083562095921	0 30 40 42 96 102 130 142 156 168 196 202 256 258 268 298	667250637704
STPT(10)	2086346148233389487	0 2 30 32 42 44 54 56 84 86	731921931270