Prime p₀= 2923211165263208789 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 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: JonS
db: batch=82, k=10, 2 10 2 16 2

SPT(16)	2923209689676163939	0 22 28 30 42 58 100 108 112 120 162 178 190 192 198 220	-1475587044850
SPT(13)	2923209766129512851	0 78 120 162 168 192 210 228 252 258 300 342 420	-1399133695938
SPT(16)	2923209969715691303	0 48 96 120 156 218 300 308 426 434 516 578 614 638 686 734	-1195547517486
SPT(16)	2923210160950289773	0 10 24 28 36 58 76 106 168 198 216 238 246 250 264 274	-1004312919016
SPT(16)	2923210536960466003	0 10 34 210 286 324 336 346 384 394 406 444 520 696 720 730	-628302742786
STPT(10)	2923210581724472861	0 2 6 8 48 50 90 92 96 98	-583538735928
SPT(16)	2923211211986190557	0 6 20 42 56 80 120 132 134 146 186 210 224 246 260 266	46722981768
SPT(16)	2923211628949507261	0 18 22 36 46 48 78 106 132 160 190 192 202 216 220 238	463686298472
SPT(20)	2923211681955285493	0 40 58 64 66 78 94 100 120 126 148 154 174 180 196 208 210 216 234 274	516692076704
STPT(10)	2923212147432603137	0 2 42 44 72 74 102 104 144 146	982169394348
SPT(18)	2923212199690353617	0 26 104 114 126 132 156 200 270 296 366 410 434 440 452 462 540 566	1034427144828