Prime p₀= 2945164846748289461 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: gemini8
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2945163901778464081	0 36 118 172 178 190 192 210 238 256 258 270 276 330 412 448	-944969825380
STPT(10)	2945164004393412029	0 2 42 44 90 92 138 140 180 182	-842354877432
SPT(16)	2945164029553075559	0 8 14 42 84 138 158 182 270 294 314 368 410 438 444 452	-817195213902
STPT(10)	2945164175427140279	0 2 18 20 30 32 42 44 60 62	-671321149182
SPT(16)	2945164397930461769	0 24 60 104 132 152 234 242 300 308 390 410 438 482 518 542	-448817827692
STPT(10)	2945164403730433499	0 2 18 20 30 32 42 44 60 62	-443017855962
STPT(10)	2945165320999515797	0 2 30 32 42 44 54 56 84 86	474251226336
SPT(16)	2945165648857899109	0 4 24 30 40 54 60 70 168 178 184 198 208 214 234 238	802109609648
SPT(16)	2945165910233705867	0 2 14 30 60 126 144 186 410 452 470 536 566 582 594 596	1063485416406
SPT(16)	2945165986244955283	0 4 28 40 54 136 144 180 184 220 228 310 324 336 360 364	1139496665822
STPT(12)	2945166578999407067	0 2 30 32 54 56 60 62 84 86 114 116	1732251117606