Prime p₀= 2168129954943668921 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: Time_Traveler
db: batch=81, k=10, 2 4 2 10 2

SPT(16)	2168129125610651167	0 12 24 42 52 82 84 90 136 142 144 174 184 202 214 226	-829333017754
SPT(16)	2168129179671682057	0 22 34 42 64 70 172 186 190 204 306 312 334 342 354 376	-775271986864
SPT(16)	2168129403804571589	0 2 12 50 54 92 114 120 152 158 180 218 222 260 270 272	-551139097332
TPT(14)	2168129487154138997	0 2 12 14 30 32 54 56 150 152 210 212 324 326	-467789529924
STPT(10)	2168129652599128847	0 2 30 32 72 74 114 116 144 146	-302344540074
STPT(10)	2168129841240828767	0 2 30 32 42 44 54 56 84 86	-113702840154
SPT(16)	2168130062956972759	0 58 64 94 100 108 120 142 150 172 184 192 198 228 234 292	108013303838
SPT(16)	2168130094481106113	0 24 30 98 108 120 128 144 260 276 284 296 306 374 380 404	139537437192
STPT(10)	2168130270474849977	0 2 30 32 102 104 174 176 204 206	315531181056
SPT(16)	2168130300214382717	0 12 26 50 54 66 126 162 254 290 350 362 366 390 404 416	345270713796
SPT(16)	2168130339812240911	0 18 130 178 238 280 286 318 340 372 378 420 480 528 640 658	384868571990