Prime p₀= 1556497950896842769 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: biodoc
db: batch=78, k=12, 2 28 2 28 2 10

STPT(10)	1556496745454309801	0 2 6 8 18 20 30 32 36 38	-1205442532968
TPT(14)	1556497200444255101	0 2 6 8 30 32 126 128 180 182 336 338 348 350	-750452587668
SPT(16)	1556497310949246191	0 18 38 92 108 116 120 138 140 158 162 170 186 240 260 278	-639947596578
SPT(16)	1556497377099402697	0 10 12 22 24 40 42 82 84 124 126 142 144 154 156 166	-573797440072
STPT(14)	1556497377099402707	0 2 12 14 30 32 72 74 114 116 132 134 144 146	-573797440062
TPT(14)	1556497377099402707	0 2 12 14 30 32 72 74 114 116 132 134 144 146	-573797440062
STPT(10)	1556497966041705221	0 2 78 80 108 110 138 140 216 218	15144862452
TPT(14)	1556498137326635549	0 2 48 50 60 62 132 134 138 140 210 212 390 392	186429792780
TPT(16)	1556498737995129167	0 2 30 32 42 44 72 74 120 122 150 152 192 194 252 254	787098286398
SPT(16)	1556498762733406819	0 4 60 90 108 120 162 238 294 370 412 424 442 472 528 532	811836564050
STPT(12)	1556498943133850447	0 2 30 32 84 86 90 92 144 146 174 176	992237007678