Prime p₀= 978972330082127999 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 10 2 10 2 46 2 (?)
a_n: 0 2 48 50 60 62 72 74 120 122
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: 122
Found by: Theadalus
db: batch=76, k=10, 2 46 2 10 2

STPT(10)	978970301265343337	0 2 30 32 42 44 54 56 84 86	-2028816784662
STPT(10)	978970350362140061	0 2 30 32 78 80 126 128 156 158	-1979719987938
STPT(12)	978970474549063811	0 2 36 38 48 50 78 80 90 92 126 128	-1855533064188
STPT(10)	978970678493826869	0 2 12 14 90 92 168 170 180 182	-1651588301130
STPT(10)	978971278818062351	0 2 6 8 48 50 90 92 96 98	-1051264065648
SPT(16)	978972151329461153	0 14 50 90 104 116 120 186 218 284 288 300 314 354 390 404	-178752666846
STPT(10)	978972351365883569	0 2 30 32 60 62 90 92 120 122	21283755570
STPT(10)	978972738336100559	0 2 18 20 60 62 102 104 120 122	408253972560
SPT(16)	978972839315075719	0 10 30 58 64 148 160 174 178 192 204 288 294 322 342 352	509232947720
SPT(16)	978972903665194883	0 54 68 90 158 168 224 230 294 300 356 366 434 456 470 524	573583066884
STPT(10)	978973060165234481	0 2 6 8 48 50 90 92 96 98	730083106482