Prime p₀= 3016577497056383327 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: [SG-FC] hl
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	3016575895741911829	0 18 40 72 84 118 138 198 214 274 294 328 340 372 394 412	-1601314471498
STPT(10)	3016576180307657249	0 2 42 44 60 62 78 80 120 122	-1316748726078
TPT(14)	3016576265845605647	0 2 42 44 60 62 90 92 120 122 132 134 174 176	-1231210777680
SPT(16)	3016576364310641651	0 30 50 78 122 162 168 176 192 200 206 246 290 318 338 368	-1132745741676
SPT(16)	3016576461319480603	0 18 34 108 118 120 126 178 186 238 244 246 256 330 346 364	-1035736902724
STPT(10)	3016577342564170961	0 2 36 38 78 80 120 122 156 158	-154492212366
STPT(10)	3016577674886837429	0 2 18 20 30 32 42 44 60 62	177830454102
SPT(16)	3016577967245155289	0 72 74 110 120 140 144 152 162 170 174 194 204 240 242 314	470188771962
STPT(10)	3016577977723954601	0 2 126 128 138 140 150 152 276 278	480667571274
STPT(10)	3016578143824505471	0 2 30 32 78 80 126 128 156 158	646768122144
SPT(16)	3016578168238017973	0 6 30 94 118 126 144 148 156 160 178 186 210 274 298 304	671181634646