Prime p₀= 1285880638904587457 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: Cruncher Pete
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1285879747789450733	0 6 14 36 66 78 110 138 176 204 236 248 278 300 308 314	-891115136724
SPT(16)	1285879812820492913	0 14 18 144 168 218 246 260 324 338 366 416 440 566 570 584	-826084094544
STPT(10)	1285879951262022869	0 2 18 20 30 32 42 44 60 62	-687642564588
SPT(16)	1285880408411895217	0 4 52 94 96 102 124 126 130 132 154 160 162 204 252 256	-230492692240
SPT(16)	1285880521122095761	0 10 16 18 30 46 48 58 78 88 90 106 118 120 126 136	-117782491696
STPT(10)	1285880550514578827	0 2 54 56 72 74 90 92 144 146	-88390008630
TPT(14)	1285880857788992417	0 2 30 32 162 164 192 194 234 236 240 242 252 254	218884404960
SPT(16)	1285881131986801813	0 28 36 40 46 58 66 114 220 268 276 288 294 298 306 334	493082214356
STPT(10)	1285881770218243727	0 2 12 14 42 44 72 74 84 86	1131313656270
SPT(16)	1285881970767657127	0 42 82 112 120 156 172 222 274 324 340 376 384 414 454 496	1331863069670
STPT(10)	1285882045679067827	0 2 12 14 72 74 132 134 144 146	1406774480370