Prime p₀= 1020129288447386417 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: UBT - Timbo
db: batch=76, k=10, 2 22 2 16 2

STPT(10)	1020128534945046881	0 2 6 8 48 50 90 92 96 98	-753502339536
SPT(16)	1020128567294351981	0 42 50 98 120 138 152 162 188 198 212 230 252 300 308 350	-721153034436
SPT(16)	1020128711915196133	0 6 60 70 76 94 120 126 154 160 186 204 210 220 274 280	-576532190284
STPT(10)	1020128753188517627	0 2 54 56 72 74 90 92 144 146	-535258868790
SPT(16)	1020128850663142439	0 8 24 38 60 84 120 170 198 248 284 308 330 344 360 368	-437784243978
SPT(16)	1020129285136100137	0 4 64 70 96 124 126 186 274 334 336 364 390 396 456 460	-3311286280
STPT(10)	1020129586565049899	0 2 42 44 120 122 198 200 240 242	298117663482
SPT(16)	1020129741764145163	0 4 16 28 34 60 84 90 154 160 184 210 216 228 240 244	453316758746
STPT(10)	1020130513167215477	0 2 30 32 42 44 54 56 84 86	1224719829060
STPT(10)	1020130568690565851	0 2 30 32 78 80 126 128 156 158	1280243179434
STPT(10)	1020130818591759107	0 2 72 74 102 104 132 134 204 206	1530144372690