Prime p₀= 2172343536179819657 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: Alnitak2019
db: batch=81, k=10, 2 10 2 58 2

SPT(16)	2172341719440005093	0 68 96 138 156 168 180 200 204 224 236 248 266 308 336 404	-1816739814564
STPT(10)	2172342045433651631	0 2 78 80 138 140 198 200 276 278	-1490746168026
SPT(16)	2172342611717304757	0 22 42 76 124 126 154 190 216 252 280 282 330 364 384 406	-924462514900
SPT(16)	2172342680108390687	0 32 42 86 104 132 144 170 216 242 254 282 300 344 354 386	-856071428970
STPT(10)	2172342892502290127	0 2 42 44 72 74 102 104 144 146	-643677529530
SPT(18)	2172343365618952679	0 18 32 38 62 132 140 230 248 252 270 360 368 438 462 468 482 500	-170560866978
SPT(16)	2172343540900025443	0 10 30 34 60 100 114 118 126 130 144 184 210 214 234 244	4720205786
SPT(16)	2172343634353416397	0 12 24 40 42 52 60 84 112 136 144 154 156 172 184 196	98173596740
SPT(16)	2172343686730112617	0 10 12 54 96 100 126 184 192 250 276 280 322 364 366 376	150550292960
STPT(10)	2172343809126461021	0 2 6 8 18 20 30 32 36 38	272946641364
SPT(16)	2172344078149996963	0 58 84 88 106 136 144 148 276 280 288 318 336 340 366 424	541970177306