Prime p₀= 2309938843165154867 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

STPT(10)	2309935163665811411	0 2 36 38 78 80 120 122 156 158	-3679499343456
STPT(10)	2309936478818019719	0 2 48 50 90 92 132 134 180 182	-2364347135148
STPT(10)	2309936617025771231	0 2 36 38 78 80 120 122 156 158	-2226139383636
SPT(16)	2309936672874732599	0 24 38 78 90 152 174 222 230 278 300 362 374 414 428 452	-2170290422268
TPT(16)	2309938056492172259	0 2 72 74 102 104 108 110 150 152 180 182 270 272 312 314	-786672982608
SPT(16)	2309938589912431211	0 6 38 62 66 68 90 108 140 158 180 182 186 210 242 248	-253252723656
STPT(10)	2309939022295761677	0 2 60 62 72 74 84 86 144 146	179130606810
TPT(14)	2309939153912433191	0 2 156 158 198 200 210 212 288 290 306 308 348 350	310747278324
STPT(10)	2309939329102777649	0 2 12 14 90 92 168 170 180 182	485937622782
SPT(16)	2309939385027042749	0 32 50 54 68 84 110 170 192 252 278 294 308 312 330 362	541861887882
STPT(10)	2309939385359749901	0 2 6 8 18 20 30 32 36 38	542194595034