Prime p₀= 2308952430446800277 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Orange Kid
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2308950536045130449	0 14 72 104 114 168 174 258 344 428 434 488 498 530 588 602	-1894401669828
SPT(16)	2308950626517816737	0 24 44 56 66 84 86 92 144 150 152 170 180 192 212 236	-1803928983540
SPT(16)	2308950626901290201	0 12 18 26 42 48 86 90 98 102 140 146 162 170 176 188	-1803545510076
SPT(16)	2308950963019686497	0 14 26 32 54 72 80 116 150 186 194 212 234 240 252 266	-1467427113780
STPT(10)	2308951473711219497	0 2 30 32 42 44 54 56 84 86	-956735580780
STPT(10)	2308951724129006651	0 2 30 32 60 62 90 92 120 122	-706317793626
STPT(10)	2308952860458540851	0 2 36 38 78 80 120 122 156 158	430011740574
STPT(10)	2308952957225292281	0 2 36 38 78 80 120 122 156 158	526778492004
SPT(16)	2308952966642516899	0 34 64 70 90 124 144 174 250 280 300 334 354 360 390 424	536195716622
STPT(10)	2308953035965039337	0 2 30 32 42 44 54 56 84 86	605518239060
SPT(16)	2308953298532604593	0 18 84 86 90 128 140 156 218 234 246 284 288 290 356 374	868085804316