Prime p₀= 2088981828607234019 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: gemini8
db: batch=80, k=10, 2 16 2 10 2

SPT(16)	2088980983978325639	0 2 12 20 44 48 54 72 140 158 164 168 192 200 210 212	-844628908380
STPT(10)	2088981221700704171	0 2 36 38 78 80 120 122 156 158	-606906529848
SPT(16)	2088981264772989029	0 24 48 50 128 144 198 200 258 260 314 330 408 410 434 458	-563834244990
SPT(16)	2088981349970171347	0 22 54 66 82 96 106 124 192 210 220 234 250 262 294 316	-478637062672
STPT(10)	2088981414309318671	0 2 6 8 18 20 30 32 36 38	-414297915348
STPT(10)	2088981528627961907	0 2 30 32 60 62 90 92 120 122	-299979272112
STPT(10)	2088982348191276677	0 2 42 44 72 74 102 104 144 146	519584042658
SPT(16)	2088982372835542529	0 78 108 164 174 200 204 234 308 338 342 368 378 434 464 542	544228308510
SPT(16)	2088982777152957109	0 42 58 120 124 190 204 274 288 358 372 438 442 504 520 562	948545723090
SPT(16)	2088983056745020531	0 12 36 78 112 130 138 142 186 190 198 216 250 292 316 328	1228137786512
SPT(16)	2088983220187054613	0 66 74 104 120 140 144 146 204 206 210 230 246 276 284 350	1391579820594