Prime p₀= 2168129652599128847 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: Time_Traveler
db: batch=81, k=10, 2 28 2 40 2

STPT(10)	2168128872895073321	0 2 36 38 78 80 120 122 156 158	-779704055526
SPT(16)	2168128969555005203	0 60 96 110 126 146 174 200 204 230 258 278 294 308 344 404	-683044123644
SPT(16)	2168129125610651167	0 12 24 42 52 82 84 90 136 142 144 174 184 202 214 226	-526988477680
SPT(16)	2168129179671682057	0 22 34 42 64 70 172 186 190 204 306 312 334 342 354 376	-472927446790
SPT(16)	2168129403804571589	0 2 12 50 54 92 114 120 152 158 180 218 222 260 270 272	-248794557258
TPT(14)	2168129487154138997	0 2 12 14 30 32 54 56 150 152 210 212 324 326	-165444989850
STPT(10)	2168129841240828767	0 2 30 32 42 44 54 56 84 86	188641699920
STPT(10)	2168129954943668921	0 2 6 8 18 20 30 32 36 38	302344540074
SPT(16)	2168130062956972759	0 58 64 94 100 108 120 142 150 172 184 192 198 228 234 292	410357843912
SPT(16)	2168130094481106113	0 24 30 98 108 120 128 144 260 276 284 296 306 374 380 404	441881977266
STPT(10)	2168130270474849977	0 2 30 32 102 104 174 176 204 206	617875721130