Prime p₀= 2612033709090727307 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: SEARCHER
db: batch=82, k=10, 2 10 2 28 2

STPT(10)	2612031354612199571	0 2 6 8 18 20 30 32 36 38	-2354478527736
SPT(16)	2612031740520208997	0 30 56 96 102 116 134 144 212 222 240 254 260 300 326 356	-1968570518310
SPT(16)	2612032303976927147	0 12 24 42 92 114 120 134 270 284 290 312 362 380 392 404	-1405113800160
SPT(16)	2612032311264387587	0 6 42 116 140 144 170 174 242 246 272 276 300 374 410 416	-1397826339720
STPT(10)	2612033229666871817	0 2 42 44 102 104 162 164 204 206	-479423855490
STPT(10)	2612033668166776727	0 2 30 32 42 44 54 56 84 86	-40923950580
STPT(10)	2612033793069316751	0 2 36 38 78 80 120 122 156 158	83978589444
STPT(10)	2612033867253084689	0 2 18 20 30 32 42 44 60 62	158162357382
TPT(14)	2612034014152700087	0 2 30 32 42 44 60 62 84 86 144 146 150 152	305061972780
STPT(10)	2612034509697190679	0 2 48 50 90 92 132 134 180 182	800606463372
STPT(10)	2612034675161177081	0 2 6 8 48 50 90 92 96 98	966070449774