Prime p₀= 4404371196072759017 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: Conan
db: batch=85, k=10, 2 28 2 10 2

SPT(16)	4404369764931021881	0 140 186 198 206 228 240 260 318 338 350 372 380 392 438 578	-1431141737136
SPT(16)	4404370101561138547	0 10 46 54 60 72 82 100 126 144 154 166 172 180 216 226	-1094511620470
TPT(14)	4404370373255898977	0 2 114 116 150 152 192 194 204 206 252 254 282 284	-822816860040
STPT(12)	4404370615099780067	0 2 12 14 30 32 54 56 72 74 84 86	-580972978950
SPT(16)	4404370787591224819	0 4 40 90 108 130 162 174 208 220 252 274 292 342 378 382	-408481534198
STPT(10)	4404370990888880951	0 2 30 32 60 62 90 92 120 122	-205183878066
TPT(16)	4404371295990820157	0 2 12 14 54 56 84 86 150 152 180 182 222 224 234 236	99918061140
STPT(16)	4404371295990820157	0 2 12 14 54 56 84 86 150 152 180 182 222 224 234 236	99918061140
SPT(16)	4404371295990820157	0 2 12 14 54 56 84 86 150 152 180 182 222 224 234 236	99918061140
STPT(10)	4404371637167251637	0 2 30 32 42 44 54 56 84 86	441094492620
STPT(10)	4404372001189209821	0 2 36 38 78 80 120 122 156 158	805116450804