Prime p₀= 1175890020137130827 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: xii5ku
db: batch=77, k=10, 2 10 2 28 2

SPT(16)	1175889050746597963	0 34 40 48 58 124 184 208 210 234 294 360 370 378 384 418	-969390532864
STPT(10)	1175889217656046679	0 2 42 44 60 62 78 80 120 122	-802481084148
TPT(14)	1175889391877746109	0 2 48 50 102 104 132 134 210 212 312 314 342 344	-628259384718
SPT(16)	1175889393049737389	0 18 24 44 48 60 92 150 182 240 272 284 288 308 314 332	-627087393438
STPT(10)	1175889929034889067	0 2 24 26 42 44 60 62 84 86	-91102241760
STPT(10)	1175889929144574701	0 2 30 32 78 80 126 128 156 158	-90992556126
SPT(16)	1175891583658431379	0 24 42 60 70 84 120 130 192 202 238 252 262 280 298 322	1563521300552
SPT(16)	1175891748415016767	0 30 54 82 84 112 120 142 162 184 192 220 222 250 274 304	1728277885940
SPT(16)	1175891835308604097	0 84 120 124 180 192 222 280 384 442 472 484 540 544 580 664	1815171473270
STPT(10)	1175891908747002437	0 2 12 14 42 44 72 74 84 86	1888609871610
SPT(16)	1175891947845137101	0 42 52 66 82 138 150 160 228 238 250 306 322 336 346 388	1927708006274