Prime p₀= 2199169326991690811 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Penguin
db: batch=81, k=10, 2 4 2 10 2

TPT(14)	2199167622816319691	0 2 126 128 198 200 336 338 390 392 420 422 510 512	-1704175371120
SPT(16)	2199167860781431289	0 44 72 78 144 164 170 224 228 282 288 308 374 380 408 452	-1466210259522
TPT(14)	2199167917519126187	0 2 60 62 102 104 240 242 264 266 324 326 342 344	-1409472564624
SPT(16)	2199167992140019039	0 58 90 100 112 124 142 174 178 210 228 240 252 262 294 352	-1334851671772
STPT(10)	2199168171285245981	0 2 6 8 18 20 30 32 36 38	-1155706444830
SPT(16)	2199168593911403701	0 6 28 58 70 112 130 132 136 138 156 198 210 240 262 268	-733080287110
SPT(16)	2199170322746785343	0 8 14 68 170 186 200 224 300 324 338 354 456 510 516 524	995755094532
SPT(16)	2199171068704313083	0 4 46 48 66 100 160 216 238 294 354 388 406 408 450 454	1741712622272
SPT(16)	2199171096376041439	0 4 12 64 78 88 114 148 204 238 264 274 288 340 348 352	1769384350628
STPT(10)	2199171573635172527	0 2 30 32 42 44 54 56 84 86	2246643481716
SPT(16)	2199171755223232949	0 12 48 68 74 80 84 110 132 158 162 168 174 194 230 242	2428231542138