Prime p₀= 1177566801261220829 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: xii5ku
db: batch=77, k=10, 2 16 2 10 2

SPT(16)	1177565225922056431	0 40 52 70 78 106 126 132 166 172 192 220 228 246 258 298	-1575339164398
TPT(14)	1177565730575025677	0 2 42 44 54 56 144 146 222 224 312 314 342 344	-1070686195152
SPT(16)	1177565954774310979	0 12 78 82 94 108 114 120 142 148 154 168 180 184 250 262	-846486909850
SPT(16)	1177566293047914233	0 74 150 156 176 206 230 270 314 354 378 408 428 434 510 584	-508213306596
TPT(14)	1177566307676069261	0 2 18 20 150 152 228 230 276 278 306 308 318 320	-493585151568
SPT(16)	1177566621116903137	0 46 52 64 84 102 124 154 222 252 274 292 312 324 330 376	-180144317692
TPT(14)	1177566967799677769	0 2 12 14 18 20 30 32 42 44 72 74 270 272	166538456940
STPT(10)	1177567791745250999	0 2 30 32 60 62 90 92 120 122	990484030170
SPT(16)	1177567852983133907	0 12 14 36 102 194 224 236 270 282 312 404 470 492 494 506	1051721913078
SPT(16)	1177567875009421327	0 6 60 84 106 120 130 150 190 210 220 234 256 280 334 340	1073748200498
TPT(14)	1177567899093129107	0 2 12 14 42 44 90 92 102 104 132 134 174 176	1097831908278