Prime p₀= 2866986712490827049 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 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: Landjunge
db: batch=82, k=10, 2 10 2 16 2

TPT(14)	2866984922541251117	0 2 60 62 90 92 144 146 210 212 222 224 270 272	-1789949575932
STPT(10)	2866985238626629319	0 2 12 14 90 92 168 170 180 182	-1473864197730
STPT(10)	2866985547913973501	0 2 36 38 78 80 120 122 156 158	-1164576853548
STPT(10)	2866985738618458781	0 2 36 38 78 80 120 122 156 158	-973872368268
STPT(10)	2866985934146884631	0 2 6 8 48 50 90 92 96 98	-778343942418
STPT(10)	2866986341957113469	0 2 18 20 30 32 42 44 60 62	-370533713580
SPT(16)	2866986994228571603	0 8 20 30 50 54 78 90 98 110 134 138 158 168 180 188	281737744554
STPT(10)	2866987170380327591	0 2 36 38 78 80 120 122 156 158	457889500542
SPT(16)	2866987371060976069	0 22 60 118 148 168 174 180 232 238 244 264 294 352 390 412	658570149020
SPT(16)	2866987774963576057	0 52 72 94 100 124 126 156 160 190 192 216 222 244 264 316	1062472749008
STPT(10)	2866988089014989909	0 2 12 14 30 32 48 50 60 62	1376524162860