Prime p₀= 2914251133084868009 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 124 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 168 170 198 200 210 212
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: 212
Found by: Landjunge
db: batch=82, k=12, 2 10 2 28 2 124

STPT(10)	2914248827098282127	0 2 24 26 42 44 60 62 84 86	-2305986585882
SPT(16)	2914249030431503153	0 30 44 90 104 110 224 258 350 384 498 504 518 564 578 608	-2102653364856
SPT(16)	2914249883794487869	0 28 54 70 108 112 178 198 274 294 360 364 402 418 444 472	-1249290380140
TPT(16)	2914249996440196199	0 2 78 80 162 164 198 200 300 302 492 494 522 524 588 590	-1136644671810
STPT(10)	2914250165978210831	0 2 36 38 78 80 120 122 156 158	-967106657178
SPT(16)	2914250745642458863	0 4 36 58 88 106 120 180 214 274 288 306 336 358 390 394	-387442409146
SPT(16)	2914251311291249893	0 18 54 64 120 138 186 204 220 238 286 304 360 370 406 424	178206381884
STPT(10)	2914251413798386967	0 2 30 32 42 44 54 56 84 86	280713518958
TPT(14)	2914251703213378769	0 2 90 92 138 140 192 194 222 224 258 260 288 290	570128510760
STPT(10)	2914251829208680949	0 2 18 20 30 32 42 44 60 62	696123812940
SPT(16)	2914252491358369067	0 44 56 60 62 114 134 176 180 222 242 294 296 300 312 356	1358273501058