Prime p₀= 1313579667163873787 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: HenkM
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1313578623086951213	0 6 18 48 56 116 156 180 284 308 348 408 416 446 458 464	-1044076922574
STPT(10)	1313578854936048521	0 2 6 8 18 20 30 32 36 38	-812227825266
STPT(10)	1313579235880596827	0 2 42 44 102 104 162 164 204 206	-431283276960
SPT(16)	1313579261546206513	0 28 34 46 70 144 174 180 244 250 280 354 378 390 396 424	-405617667274
STPT(10)	1313579577031883171	0 2 6 8 48 50 90 92 96 98	-90131990616
STPT(10)	1313579645934237287	0 2 12 14 72 74 132 134 144 146	-21229636500
STPT(12)	1313580684645693251	0 2 138 140 168 170 228 230 258 260 396 398	1017481819464
STPT(10)	1313580822456644351	0 2 36 38 78 80 120 122 156 158	1155292770564
SPT(16)	1313581320876330241	0 10 28 60 88 102 142 180 268 306 346 360 388 420 438 448	1653712456454
SPT(16)	1313581853039526493	0 30 40 64 78 106 108 118 156 166 168 196 210 234 244 274	2185875652706
STPT(10)	1313581864102136177	0 2 90 92 132 134 174 176 264 266	2196938262390