Prime p₀= 4404372092210502077 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

STPT(16)	4404371295990820157	0 2 12 14 54 56 84 86 150 152 180 182 222 224 234 236	-796219681920
TPT(16)	4404371295990820157	0 2 12 14 54 56 84 86 150 152 180 182 222 224 234 236	-796219681920
SPT(16)	4404371295990820157	0 2 12 14 54 56 84 86 150 152 180 182 222 224 234 236	-796219681920
STPT(10)	4404371637167251637	0 2 30 32 42 44 54 56 84 86	-455043250440
STPT(10)	4404372001189209821	0 2 36 38 78 80 120 122 156 158	-91021292256
SPT(16)	4404372088292662127	0 24 126 134 162 182 222 230 306 314 354 374 402 410 512 536	-3917839950
SPT(16)	4404372274077636901	0 6 22 46 60 66 126 160 162 196 256 262 276 300 316 322	181867134824
STPT(10)	4404373667357903357	0 2 24 26 42 44 60 62 84 86	1575147401280
TPT(14)	4404374019811118357	0 2 12 14 42 44 54 56 102 104 114 116 144 146	1927600616280
STPT(12)	4404374019811118369	0 2 30 32 42 44 90 92 102 104 132 134	1927600616292
STPT(10)	4404374197597718249	0 2 12 14 90 92 168 170 180 182	2105387216172