Prime p₀= 2327320052713495319 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: Landjunge
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2327318769721995521	0 50 92 98 110 170 192 212 216 236 258 318 330 336 378 428	-1282991499798
STPT(10)	2327318846150778281	0 2 6 8 48 50 90 92 96 98	-1206562717038
STPT(10)	2327318916231073967	0 2 42 44 72 74 102 104 144 146	-1136482421352
SPT(16)	2327319032764712177	0 32 102 114 116 132 162 164 252 254 284 300 302 314 384 416	-1019948783142
STPT(10)	2327319656009765201	0 2 36 38 78 80 120 122 156 158	-396703730118
SPT(16)	2327319856150872823	0 66 76 78 106 108 160 186 220 246 298 300 328 330 340 406	-196562622496
SPT(16)	2327320111292069651	0 18 30 32 86 108 120 128 330 338 350 372 426 428 440 458	58578574332
STPT(12)	2327320255751448959	0 2 42 44 72 74 210 212 240 242 282 284	203037953640
STPT(10)	2327320266226383677	0 2 12 14 42 44 72 74 84 86	213512888358
TPT(14)	2327320711807794917	0 2 12 14 54 56 84 86 90 92 102 104 144 146	659094299598
SPT(16)	2327320901755027279	0 12 22 28 54 78 82 180 232 330 334 358 384 390 400 412	849041531960