Prime p₀= 1011384121286861051 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 46 2 40 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 120 122 168 170 198 200
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: 200
Found by: Theadalus
db: batch=76, k=12, 2 28 2 46 2 40

STPT(10)	1011383219397453767	0 2 42 44 72 74 102 104 144 146	-901889407284
SPT(16)	1011383258827391677	0 16 40 76 132 142 156 184 192 220 234 244 300 336 360 376	-862459469374
SPT(16)	1011383323297045129	0 60 82 90 100 114 120 142 270 292 298 312 322 330 352 412	-797989815922
STPT(10)	1011383505975701387	0 2 60 62 72 74 84 86 144 146	-615311159664
STPT(10)	1011383668099866959	0 2 42 44 60 62 78 80 120 122	-453186994092
SPT(16)	1011384008040914303	0 14 24 54 60 90 116 144 146 174 200 230 236 266 276 290	-113245946748
SPT(16)	1011384937260697553	0 24 30 98 126 138 168 170 204 206 236 248 276 344 350 374	815973836502
SPT(16)	1011385061607033229	0 28 70 124 168 180 240 244 294 298 358 370 414 468 510 538	940320172178
SPT(16)	1011385695982144271	0 18 42 96 132 150 228 276 392 440 518 536 572 626 650 668	1574695283220
TPT(14)	1011385817083444631	0 2 6 8 36 38 78 80 90 92 168 170 180 182	1695796583580
TPT(14)	1011385980307025339	0 2 78 80 120 122 132 134 162 164 168 170 198 200	1859020164288