Prime p₀= 2704023185161500407 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

TPT(14)	2704022332928152319	0 2 198 200 210 212 270 272 360 362 402 404 420 422	-852233348088
TPT(14)	2704022432622393989	0 2 30 32 72 74 120 122 162 164 168 170 192 194	-752539106418
SPT(16)	2704022527102287533	0 8 60 114 126 134 156 224 270 338 360 368 380 434 486 494	-658059212874
SPT(16)	2704022623984084451	0 6 20 38 72 80 96 126 152 182 198 206 240 258 272 278	-561177415956
SPT(16)	2704022717006086451	0 48 62 78 110 120 180 198 320 338 398 408 440 456 470 518	-468155413956
SPT(16)	2704022806052855789	0 8 14 24 50 54 90 188 210 308 344 348 374 384 390 398	-379108644618
STPT(10)	2704024181415292031	0 2 6 8 18 20 30 32 36 38	996253791624
SPT(16)	2704024384550078507	0 2 12 32 54 60 74 80 144 150 164 170 192 212 222 224	1199388578100
SPT(16)	2704024757757052757	0 32 42 54 60 62 80 144 152 216 234 236 242 254 264 296	1572595552350
STPT(10)	2704025231105170769	0 2 18 20 30 32 42 44 60 62	2045943670362
STPT(10)	2704025276978980907	0 2 30 32 42 44 54 56 84 86	2091817480500