Prime p₀= 2539189288896097499 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 10 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 72 74 102 104 132 134
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: 134
Found by: JayPi
db: batch=82, k=12, 2 28 2 28 2 10

STPT(10)	2539188158567260157	0 2 12 14 42 44 72 74 84 86	-1130328837342
STPT(10)	2539188258531204101	0 2 6 8 48 50 90 92 96 98	-1030364893398
STPT(10)	2539188262187877371	0 2 30 32 78 80 126 128 156 158	-1026708220128
SPT(16)	2539188733386999131	0 12 42 72 86 96 98 102 476 480 482 492 506 536 566 578	-555509098368
SPT(16)	2539188839058281713	0 4 6 64 94 106 114 136 168 190 198 210 240 298 300 304	-449837815786
STPT(10)	2539189062743364011	0 2 36 38 78 80 120 122 156 158	-226152733488
SPT(16)	2539189409074891843	0 30 48 58 76 96 100 130 156 186 190 210 228 238 256 286	120178794344
TPT(14)	2539189501464247271	0 2 6 8 78 80 96 98 120 122 168 170 210 212	212568149772
TPT(14)	2539189521031326197	0 2 114 116 210 212 222 224 234 236 270 272 282 284	232135228698
STPT(10)	2539189734965990927	0 2 60 62 72 74 84 86 144 146	446069893428
SPT(16)	2539190073316577699	0 18 44 68 72 74 128 132 140 144 198 200 204 228 254 272	784420480200