Prime p₀= 968427134071112657 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Theadalus
db: batch=76, k=10, 2 28 2 10 2

TPT(14)	968425702004113049	0 2 30 32 72 74 90 92 132 134 168 170 222 224	-1432066999608
STPT(10)	968425931080255931	0 2 6 8 48 50 90 92 96 98	-1202990856726
SPT(16)	968426190110108263	0 4 24 34 58 88 150 160 228 238 300 330 354 364 384 388	-943961004394
SPT(16)	968426299052724923	0 50 66 80 104 120 126 164 186 224 230 246 270 284 300 350	-835018387734
STPT(10)	968426775492602507	0 2 54 56 72 74 90 92 144 146	-358578510150
STPT(10)	968426958799735007	0 2 42 44 72 74 102 104 144 146	-175271377650
SPT(16)	968427193487473807	0 6 10 42 54 94 124 180 196 252 282 322 334 366 370 376	59416361150
STPT(10)	968427327368379761	0 2 36 38 78 80 120 122 156 158	193297267104
STPT(10)	968427893684903549	0 2 42 44 60 62 78 80 120 122	759613790892
SPT(16)	968428177904096731	0 48 76 82 90 118 132 142 216 226 240 268 276 282 310 358	1043832984074
STPT(12)	968428478803049387	0 2 12 14 54 56 60 62 102 104 114 116	1344731936730