Prime p₀= 3978766898915197577 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Manuel Stenschke
db: batch=84, k=10, 2 22 2 16 2

SPT(16)	3978764324633203877	0 24 44 50 56 120 126 156 170 200 206 270 276 282 302 326	-2574281993700
STPT(10)	3978765035416950011	0 2 36 38 78 80 120 122 156 158	-1863498247566
STPT(10)	3978765518939750081	0 2 6 8 48 50 90 92 96 98	-1379975447496
STPT(10)	3978766292436032561	0 2 36 38 78 80 120 122 156 158	-606479165016
TPT(14)	3978766670742321641	0 2 66 68 78 80 120 122 126 128 276 278 318 320	-228172875936
SPT(16)	3978766729530084773	0 8 36 80 110 120 140 158 186 204 224 234 264 308 336 344	-169385112804
TPT(14)	3978767312338772951	0 2 48 50 96 98 126 128 138 140 156 158 186 188	413423575374
STPT(10)	3978767359348361537	0 2 42 44 72 74 102 104 144 146	460433163960
SPT(16)	3978767397338011037	0 6 62 84 134 144 146 152 204 210 212 222 272 294 350 356	498422813460
SPT(16)	3978767770801695451	0 10 16 46 82 88 100 108 130 138 150 156 192 222 228 238	871886497874
SPT(16)	3978767795421073493	0 18 90 128 144 158 186 216 248 278 306 320 336 374 446 464	896505875916