Prime p₀= 2291231656377030509 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: Orange Kid
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2291230295046766763	0 50 96 134 174 210 218 264 380 426 434 470 510 548 594 644	-1361330263746
STPT(10)	2291230313713611341	0 2 36 38 78 80 120 122 156 158	-1342663419168
SPT(16)	2291230546747959961	0 36 46 58 72 106 148 156 172 180 222 256 270 282 292 328	-1109629070548
SPT(16)	2291230745079802159	0 28 58 100 124 138 154 210 238 294 310 324 348 390 420 448	-911297228350
STPT(10)	2291230804015647491	0 2 6 8 48 50 90 92 96 98	-852361383018
SPT(16)	2291231103880146529	0 12 24 58 70 90 124 132 160 168 202 222 234 268 280 292	-552496883980
TPT(14)	2291231715231919511	0 2 6 8 120 122 210 212 216 218 228 230 240 242	58854889002
SPT(16)	2291231843432964869	0 54 62 72 84 104 110 138 164 192 198 218 230 240 248 302	187055934360
STPT(10)	2291231880106734527	0 2 30 32 42 44 54 56 84 86	223729704018
STPT(10)	2291232041700113339	0 2 42 44 60 62 78 80 120 122	385323082830
STPT(10)	2291232496592029997	0 2 30 32 42 44 54 56 84 86	840214999488