Prime p₀= 1295671685440480889 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 46 2 28 2 52 2 28 2 46 2 (?)
a_n: 0 2 48 50 78 80 132 134 162 164 210 212
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: 212
Found by: Cruncher Pete
db: batch=77, k=12, 2 46 2 28 2 52

STPT(10)	1295669929054602989	0 2 18 20 30 32 42 44 60 62	-1756385877900
SPT(16)	1295669977329655001	0 2 12 60 68 132 152 158 240 246 266 330 338 386 396 398	-1708110825888
SPT(16)	1295670084321375467	0 6 14 24 84 92 102 150 176 224 234 242 302 312 320 326	-1601119105422
SPT(16)	1295670085344792401	0 6 26 38 80 96 128 138 158 168 200 216 258 270 290 296	-1600095688488
STPT(10)	1295670361913736671	0 2 36 38 78 80 120 122 156 158	-1323526744218
STPT(10)	1295671272086675129	0 2 48 50 60 62 72 74 120 122	-413353805760
SPT(16)	1295672214085545053	0 18 24 30 98 108 150 158 366 374 416 426 494 500 506 524	528645064164
STPT(10)	1295672381100290927	0 2 30 32 42 44 54 56 84 86	695659810038
TPT(14)	1295672388466264811	0 2 6 8 36 38 60 62 78 80 120 122 156 158	703025783922
STPT(10)	1295672664424855427	0 2 12 14 42 44 72 74 84 86	978984374538
SPT(16)	1295672924236697161	0 18 30 156 178 220 238 280 438 480 498 540 562 688 700 718	1238796216272