Prime p₀= 2612033668166776727 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: SEARCHER
db: batch=82, k=10, 2 28 2 10 2

STPT(10)	2612030959759853297	0 2 12 14 42 44 72 74 84 86	-2708406923430
STPT(10)	2612031354612199571	0 2 6 8 18 20 30 32 36 38	-2313554577156
SPT(16)	2612031740520208997	0 30 56 96 102 116 134 144 212 222 240 254 260 300 326 356	-1927646567730
SPT(16)	2612032303976927147	0 12 24 42 92 114 120 134 270 284 290 312 362 380 392 404	-1364189849580
SPT(16)	2612032311264387587	0 6 42 116 140 144 170 174 242 246 272 276 300 374 410 416	-1356902389140
STPT(10)	2612033229666871817	0 2 42 44 102 104 162 164 204 206	-438499904910
STPT(10)	2612033709090727307	0 2 12 14 42 44 72 74 84 86	40923950580
STPT(10)	2612033793069316751	0 2 36 38 78 80 120 122 156 158	124902540024
STPT(10)	2612033867253084689	0 2 18 20 30 32 42 44 60 62	199086307962
TPT(14)	2612034014152700087	0 2 30 32 42 44 60 62 84 86 144 146 150 152	345985923360
STPT(10)	2612034509697190679	0 2 48 50 90 92 132 134 180 182	841530413952