Prime p₀= 2472092476017006497 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: Roadranner
db: batch=82, k=10, 2 10 2 58 2

SPT(16)	2472091487863771351	0 18 28 30 90 106 142 160 168 186 222 238 298 300 310 328	-988153235146
SPT(16)	2472091675975534009	0 22 28 78 108 112 220 244 348 372 480 484 514 564 570 592	-800041472488
TPT(14)	2472092126956951691	0 2 78 80 96 98 126 128 150 152 258 260 288 290	-349060054806
STPT(10)	2472092376511025627	0 2 60 62 102 104 144 146 204 206	-99505980870
TPT(14)	2472092414252804909	0 2 12 14 60 62 168 170 192 194 210 212 222 224	-61764201588
TPT(14)	2472092432947608239	0 2 30 32 72 74 138 140 150 152 192 194 198 200	-43069398258
SPT(20)	2472092654808329569	0 64 78 100 102 142 148 150 168 172 210 214 232 234 240 280 282 304 318 382	178791323072
STPT(10)	2472092892907774061	0 2 30 32 78 80 126 128 156 158	416890767564
SPT(16)	2472093147263861207	0 6 14 36 60 86 102 170 216 284 300 326 350 372 380 386	671246854710
SPT(16)	2472093278628132883	0 54 70 76 94 100 106 126 148 168 174 180 198 204 220 274	802611126386
STPT(10)	2472093509565340469	0 2 48 50 90 92 132 134 180 182	1033548333972