Prime p₀= 2309973674073784127 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 10 2 154 2 10 2 10 2 (?)
a_n: 0 2 12 14 24 26 180 182 192 194 204 206
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: 206
Found by: FritzB
db: batch=81, k=12, 2 10 2 10 2 154

STPT(10)	2309972028154336487	0 2 30 32 42 44 54 56 84 86	-1645919447640
SPT(16)	2309972409280353343	0 54 64 88 136 196 208 220 324 336 348 408 456 480 490 544	-1264793430784
SPT(16)	2309972521474772107	0 46 70 100 144 162 172 174 352 354 364 382 426 456 480 526	-1152599012020
TPT(14)	2309973189427723019	0 2 12 14 72 74 102 104 180 182 228 230 258 260	-484646061108
SPT(16)	2309973483208797127	0 12 36 52 54 94 112 130 186 204 222 262 264 280 304 316	-190864987000
SPT(16)	2309973527628925163	0 54 56 66 78 90 186 194 300 308 404 416 428 438 440 494	-146444858964
STPT(10)	2309973943792056161	0 2 6 8 48 50 90 92 96 98	269718272034
STPT(10)	2309973965423038379	0 2 12 14 90 92 168 170 180 182	291349254252
SPT(16)	2309973978208024949	0 14 44 60 78 98 122 162 170 210 234 254 272 288 318 332	304134240822
STPT(12)	2309974084378147529	0 2 18 20 102 104 138 140 222 224 240 242	410304363402
SPT(16)	2309974087361892563	0 20 24 36 66 80 84 126 128 170 174 188 218 230 234 254	413288108436