Prime p₀= 2396314280624183807 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: JonS
db: batch=81, k=10, 2 22 2 16 2

STPT(10)	2396311605685854287	0 2 54 56 72 74 90 92 144 146	-2674938329520
STPT(10)	2396312397665192759	0 2 18 20 30 32 42 44 60 62	-1882958991048
SPT(16)	2396312748917232121	0 12 28 48 70 78 106 118 120 132 160 168 190 210 226 238	-1531706951686
STPT(10)	2396312935284846029	0 2 48 50 90 92 132 134 180 182	-1345339337778
TPT(14)	2396313354363436799	0 2 12 14 42 44 168 170 228 230 252 254 348 350	-926260747008
SPT(16)	2396314234826764823	0 30 54 84 138 174 180 198 200 218 224 260 314 344 368 398	-45797418984
STPT(10)	2396314860915518897	0 2 54 56 72 74 90 92 144 146	580291335090
SPT(16)	2396314945194382967	0 32 62 66 80 86 140 144 152 156 210 216 230 234 264 296	664570199160
STPT(10)	2396315534375986367	0 2 42 44 72 74 102 104 144 146	1253751802560
SPT(16)	2396315677085399761	0 16 58 60 112 118 196 226 282 312 390 396 448 450 492 508	1396461215954
SPT(16)	2396315873264468803	0 30 36 40 48 88 114 120 124 130 156 196 204 208 214 244	1592640284996