Prime p₀= 724863177641117111 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: EarlyBird@Zircons
db: batch=73, k=10, 2 34 2 40 2

SPT(16)	724862455469830421	0 2 20 78 90 108 122 132 206 216 230 248 260 318 336 338	-722171286690
SPT(16)	724862625025343669	0 30 44 50 72 78 104 132 140 168 194 200 222 228 242 272	-552615773442
STPT(10)	724863004093170491	0 2 6 8 48 50 90 92 96 98	-173547946620
SPT(16)	724863016167747559	0 12 34 112 120 130 148 154 258 264 282 292 300 378 400 412	-161473369552
SPT(16)	724863053005010119	0 30 58 70 72 82 120 168 244 292 330 340 342 354 382 412	-124636106992
SPT(16)	724863170046144221	0 2 8 26 42 60 68 98 180 210 218 236 252 270 276 278	-7594972890
STPT(10)	724863988836134471	0 2 36 38 78 80 120 122 156 158	811195017360
SPT(16)	724864023152779373	0 6 26 50 78 90 96 108 278 290 296 308 336 360 380 386	845511662262
STPT(10)	724864161107067011	0 2 30 32 60 62 90 92 120 122	983465949900
SPT(16)	724864494138639433	0 24 34 54 88 94 96 126 178 208 210 216 250 270 280 304	1316497522322
STPT(10)	724864631177957321	0 2 6 8 18 20 30 32 36 38	1453536840210