Prime p₀= 1085716031931574697 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 76 2 76 2 52 2 (?)
a_n: 0 2 54 56 132 134 210 212 264 266
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: 266
Found by: [SG]ATA-Rolf
db: batch=76, k=10, 2 52 2 76 2

SPT(16)	1085713496771157349	0 12 30 72 78 84 132 154 168 190 238 244 250 292 310 322	-2535160417348
STPT(10)	1085713798000598717	0 2 30 32 42 44 54 56 84 86	-2233930975980
SPT(16)	1085715209947906631	0 8 18 30 32 48 60 90 170 200 212 228 230 242 252 260	-821983668066
STPT(10)	1085715701539435997	0 2 30 32 60 62 90 92 120 122	-330392138700
SPT(18)	1085715796303280591	0 18 36 86 98 108 140 158 180 308 330 348 380 390 402 452 470 488	-235628294106
STPT(10)	1085715804554112227	0 2 60 62 72 74 84 86 144 146	-227377462470
SPT(16)	1085716136901110941	0 22 52 58 88 102 120 142 156 178 196 210 240 246 276 298	104969536244
STPT(10)	1085716433394670277	0 2 54 56 72 74 90 92 144 146	401463095580
STPT(10)	1085716677745525121	0 2 6 8 18 20 30 32 36 38	645813950424
SPT(16)	1085716897551903451	0 18 42 46 112 130 156 160 168 172 198 216 282 286 310 328	865620328754
SPT(16)	1085717059746333857	0 24 44 90 122 126 140 146 150 156 170 174 206 252 272 296	1027814759160