Prime p₀= 1274145918859095179 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: mikey
db: batch=77, k=10, 2 16 2 10 2

SPT(16)	1274144830110587537	0 6 90 152 186 212 222 254 312 344 354 380 414 476 560 566	-1088748507642
STPT(10)	1274145383619838019	0 2 42 44 90 92 138 140 180 182	-535239257160
TPT(14)	1274145488498061371	0 2 36 38 78 80 90 92 126 128 210 212 420 422	-430361033808
SPT(16)	1274145658637497939	0 18 24 34 42 52 94 102 160 168 210 220 228 238 244 262	-260221597240
STPT(10)	1274145672073825007	0 2 30 32 72 74 114 116 144 146	-246785270172
SPT(16)	1274145780438510151	0 12 22 28 78 90 112 118 132 138 160 172 222 228 238 250	-138420585028
SPT(16)	1274145940736932717	0 12 70 84 114 142 154 172 234 252 264 292 322 336 394 406	21877837538
STPT(10)	1274146082119346207	0 2 90 92 102 104 114 116 204 206	163260251028
STPT(10)	1274146111941453857	0 2 30 32 42 44 54 56 84 86	193082358678
STPT(10)	1274146299708775637	0 2 60 62 72 74 84 86 144 146	380849680458
SPT(16)	1274146418356651877	0 20 24 32 36 42 50 90 116 156 164 170 174 182 186 206	499497556698