Prime p₀= 1235321296225551677 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 70 2 28 2 28 2 70 2 (?)
a_n: 0 2 72 74 102 104 132 134 204 206
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: 206
Found by: Cruncher Pete
db: batch=77, k=10, 2 70 2 28 2

SPT(16)	1235320413746432171	0 56 68 90 96 120 140 152 156 168 188 212 218 240 252 308	-882479119506
SPT(16)	1235320892671230931	0 16 18 76 88 90 96 112 186 202 208 210 222 280 282 298	-403554320746
SPT(16)	1235321057389839379	0 18 58 88 102 114 124 130 192 198 208 220 234 264 304 322	-238835712298
SPT(16)	1235321126672185571	0 2 110 168 210 212 240 260 288 308 336 338 380 438 546 548	-169553366106
SPT(16)	1235321137909473871	0 18 46 48 88 102 120 156 172 208 226 240 280 282 310 328	-158316077806
SPT(16)	1235321147354030029	0 54 90 112 142 144 234 258 304 328 418 420 450 472 508 562	-148871521648
STPT(10)	1235321382945150269	0 2 18 20 30 32 42 44 60 62	86719598592
STPT(10)	1235321432045054141	0 2 126 128 168 170 210 212 336 338	135819502464
STPT(10)	1235321508116022317	0 2 42 44 72 74 102 104 144 146	211890470640
SPT(16)	1235322144823928111	0 20 30 32 42 56 80 90 98 108 132 146 156 158 168 188	848598376434
STPT(10)	1235322259046983097	0 2 42 44 72 74 102 104 144 146	962821431420