Prime p₀= 2866953929336943359 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 16 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 60 62 90 92 102 104
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: 104
Found by: JonS
db: batch=82, k=12, 2 10 2 28 2 16

STPT(10)	2866952719511262209	0 2 42 44 60 62 78 80 120 122	-1209825681150
STPT(10)	2866952919940030637	0 2 60 62 72 74 84 86 144 146	-1009396912722
STPT(10)	2866953304150243571	0 2 6 8 48 50 90 92 96 98	-625186699788
SPT(18)	2866953305121446843	0 26 44 54 84 86 98 110 120 134 144 156 168 170 200 210 228 254	-624215496516
SPT(16)	2866953360869302949	0 38 48 104 128 132 192 194 228 230 290 294 318 374 384 422	-568467640410
STPT(10)	2866953764496160481	0 2 6 8 18 20 30 32 36 38	-164840782878
SPT(16)	2866954468310519539	0 40 54 60 82 102 112 124 150 162 172 192 214 220 234 274	538973576180
TPT(14)	2866955052789767351	0 2 18 20 60 62 96 98 126 128 150 152 168 170	1123452823992
STPT(10)	2866955095955571347	0 2 24 26 42 44 60 62 84 86	1166618627988
SPT(16)	2866955188688439253	0 4 34 48 88 96 130 136 168 174 208 216 256 270 300 304	1259351495894
SPT(16)	2866955220781847753	0 8 18 26 48 54 96 126 158 188 230 236 258 266 276 284	1291444904394