Prime p₀= 2404647788027490701 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 46 2 28 2 10 2 28 2 46 2 (?)
a_n: 0 2 48 50 78 80 90 92 120 122 168 170
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: 170
Found by: Penguin
db: batch=82, k=12, 2 46 2 28 2 10

TPT(14)	2404646981396403617	0 2 12 14 24 26 150 152 222 224 234 236 240 242	-806631087084
STPT(10)	2404647064665290189	0 2 42 44 90 92 138 140 180 182	-723362200512
TPT(14)	2404647323886446867	0 2 42 44 72 74 90 92 180 182 282 284 294 296	-464141043834
SPT(16)	2404647531010047767	0 36 54 66 90 120 122 164 192 234 236 266 290 302 320 356	-257017442934
SPT(16)	2404647542865916967	0 2 6 66 72 86 126 146 156 176 216 230 236 296 300 302	-245161573734
STPT(12)	2404647656814720137	0 2 30 32 42 44 120 122 132 134 162 164	-131212770564
STPT(10)	2404647825279601787	0 2 12 14 72 74 132 134 144 146	37252111086
STPT(10)	2404648249359121781	0 2 36 38 78 80 120 122 156 158	461331631080
SPT(16)	2404648350758855099	0 108 110 120 132 164 170 230 282 342 348 380 392 402 404 512	562731364398
SPT(16)	2404648431095447443	0 48 54 84 118 124 148 190 258 300 324 330 364 394 400 448	643067956742
SPT(16)	2404648468947725711	0 6 18 62 90 156 162 170 228 236 242 308 336 380 392 398	680920235010