Prime p₀= 1016543552903504471 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 4 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 66 68 96 98 126 128
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 128
Found by: stoneageman
db: batch=76, k=12, 2 28 2 28 2 4

STPT(10)	1016542368231454619	0 2 18 20 60 62 102 104 120 122	-1184672049852
SPT(16)	1016542740721905143	0 6 24 48 66 84 108 120 194 206 230 248 266 290 308 314	-812181599328
SPT(16)	1016543047078346869	0 28 30 64 78 120 144 154 174 184 208 250 264 298 300 328	-505825157602
SPT(16)	1016543077578571339	0 4 18 34 54 82 90 118 144 172 180 208 228 244 258 262	-475324933132
SPT(16)	1016543165084220667	0 4 24 34 66 82 124 144 202 222 264 280 312 322 342 346	-387819283804
SPT(16)	1016543522969506151	0 12 20 36 42 50 126 138 140 152 228 236 242 258 266 278	-29933998320
STPT(10)	1016543768281060907	0 2 30 32 42 44 54 56 84 86	215377556436
STPT(10)	1016543877044677517	0 2 30 32 42 44 54 56 84 86	324141173046
SPT(16)	1016544012214071137	0 2 12 24 26 42 96 114 122 140 194 210 212 224 234 236	459310566666
SPT(16)	1016544131846689493	0 14 50 54 90 116 126 144 176 194 204 230 266 270 306 320	578943185022
TPT(14)	1016544491957439089	0 2 78 80 150 152 168 170 192 194 282 284 318 320	939053934618