Prime p₀= 978950263727124497 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: [SG-2W]Kurzer
db: batch=76, k=10, 2 10 2 28 2

SPT(16)	978949219072329227	0 2 24 62 66 86 90 92 114 116 120 140 144 182 204 206	-1044654795270
STPT(10)	978949442705077367	0 2 30 32 42 44 54 56 84 86	-821022047130
SPT(16)	978949449196041439	0 84 88 154 168 174 180 190 312 322 328 334 348 414 418 502	-814531083058
STPT(10)	978949475802720137	0 2 60 62 72 74 84 86 144 146	-787924404360
SPT(16)	978950179609413367	0 42 66 70 166 192 196 222 250 276 280 306 402 406 430 472	-84117711130
SPT(16)	978950212157753051	0 2 12 66 86 126 132 150 212 230 236 276 296 350 360 362	-51569371446
STPT(10)	978950582205914237	0 2 12 14 132 134 252 254 264 266	318478789740
STPT(10)	978951314547838571	0 2 30 32 60 62 90 92 120 122	1050820714074
SPT(16)	978951806441750191	0 30 70 150 166 168 180 198 208 226 238 240 256 336 376 406	1542714625694
SPT(16)	978951935404837213	0 94 130 136 198 226 228 274 360 406 408 436 498 504 540 634	1671677712716
STPT(10)	978952026828165581	0 2 36 38 78 80 120 122 156 158	1763101041084