Prime p₀= 2623046012459737367 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: JayPi
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2623042271379265751	0 2 36 42 66 116 126 138 140 152 162 212 236 242 276 278	-3741080471616
SPT(16)	2623043717221886867	0 54 84 110 132 140 150 210 254 314 324 332 354 380 410 464	-2295237850500
SPT(16)	2623044532740705389	0 24 38 134 158 164 192 200 252 260 288 294 318 414 428 452	-1479719031978
SPT(16)	2623044620272586233	0 40 48 54 58 76 120 124 150 154 198 216 220 226 234 274	-1392187151134
SPT(16)	2623044765550168423	0 28 70 154 178 226 234 246 268 280 288 336 360 444 486 514	-1246909568944
SPT(16)	2623045226855725879	0 28 48 54 120 124 162 198 334 370 408 412 478 484 504 532	-785604011488
STPT(12)	2623046086789425329	0 2 30 32 42 44 90 92 102 104 132 134	74329687962
STPT(10)	2623046174589172271	0 2 30 32 60 62 90 92 120 122	162129434904
STPT(10)	2623046514832166177	0 2 42 44 72 74 102 104 144 146	502372428810
STPT(10)	2623046995542670979	0 2 42 44 60 62 78 80 120 122	983082933612
STPT(10)	2623047349818911579	0 2 48 50 90 92 132 134 180 182	1337359174212