Prime p₀= 1213040233894009439 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 22 2 4 2 22 2 16 2 (?)
a_n: 0 2 18 20 42 44 48 50 72 74 90 92
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: 92
Found by: xii5ku
db: batch=77, k=12, 2 16 2 22 2 4

SPT(16)	1213039430424515819	0 14 54 60 74 90 102 110 132 140 152 168 182 188 228 242	-803469493620
STPT(10)	1213039454065583327	0 2 30 32 42 44 54 56 84 86	-779828426112
STPT(10)	1213039720458182777	0 2 30 32 42 44 54 56 84 86	-513435826662
TPT(14)	1213040109771367907	0 2 72 74 120 122 150 152 234 236 360 362 390 392	-124122641532
TPT(16)	1213040198734399547	0 2 114 116 120 122 150 152 180 182 222 224 252 254 282 284	-35159609892
STPT(12)	1213040198734399667	0 2 30 32 60 62 102 104 132 134 162 164	-35159609772
STPT(10)	1213040291255974847	0 2 30 32 42 44 54 56 84 86	57361965408
STPT(10)	1213040481257170997	0 2 30 32 72 74 114 116 144 146	247363161558
SPT(16)	1213040568870373339	0 28 42 54 118 132 150 172 210 232 250 264 328 340 354 382	334976363900
SPT(16)	1213040683483881671	0 60 68 90 96 138 182 278 300 396 440 482 488 510 518 578	449589872232
SPT(16)	1213040951457003497	0 12 24 44 92 122 162 164 180 182 222 252 300 320 332 344	717562994058