Prime p₀= 3235346447094819359 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: dthonon
db: batch=83, k=12, 2 28 2 46 2 40

SPT(13)	3235344327116553277	0 36 66 84 90 114 120 126 150 156 174 204 240	-2119978266082
STPT(12)	3235344603896725247	0 2 30 32 42 44 102 104 114 116 144 146	-1843198094112
SPT(16)	3235344954485719171	0 10 46 88 148 150 162 172 186 196 208 210 270 312 348 358	-1492609100188
STPT(10)	3235345734286228391	0 2 6 8 48 50 90 92 96 98	-712808590968
STPT(10)	3235345964645203217	0 2 12 14 72 74 132 134 144 146	-482449616142
SPT(16)	3235346017052167021	0 6 28 40 42 48 58 72 76 90 100 106 108 120 142 148	-430042652338
STPT(10)	3235347405551410319	0 2 18 20 30 32 42 44 60 62	958456590960
STPT(10)	3235347510734857937	0 2 12 14 42 44 72 74 84 86	1063640038578
SPT(16)	3235347599571776347	0 16 40 42 66 130 150 184 192 226 246 310 334 336 360 376	1152476956988
STPT(10)	3235347894644952839	0 2 18 20 30 32 42 44 60 62	1447550133480
SPT(16)	3235348144025847401	0 2 26 48 60 132 140 168 170 198 206 278 290 312 336 338	1696931028042