Prime p₀= 2316578214695499509 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Orange Kid
db: batch=81, k=10, 2 16 2 10 2

TPT(14)	2316576165497457359	0 2 42 44 72 74 108 110 150 152 192 194 270 272	-2049198042150
STPT(10)	2316576444667478177	0 2 30 32 60 62 90 92 120 122	-1770028021332
SPT(16)	2316577085985248971	0 22 30 40 58 106 112 118 120 126 132 180 198 208 216 238	-1128710250538
STPT(10)	2316577307673437069	0 2 42 44 120 122 198 200 240 242	-907022062440
SPT(16)	2316577424175338683	0 10 60 64 90 150 220 234 280 294 364 424 450 454 504 514	-790520160826
SPT(13)	2316577487687515813	0 18 48 60 90 126 138 150 186 216 228 258 276	-727007983696
TPT(14)	2316578457614298641	0 2 30 32 36 38 78 80 96 98 168 170 210 212	242918799132
SPT(16)	2316578629184809931	0 6 32 56 60 90 146 182 216 252 308 338 342 366 392 398	414489310422
STPT(10)	2316578637237813017	0 2 24 26 42 44 60 62 84 86	422542313508
STPT(10)	2316578667846215921	0 2 36 38 78 80 120 122 156 158	453150716412
SPT(16)	2316578696799377471	0 60 66 80 140 152 156 158 180 182 186 198 258 272 278 338	482103877962