Prime p₀= 2749637357288306489 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 10 2 124 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 168 170 180 182 210 212
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: [SG-FC] hl
db: batch=82, k=12, 2 28 2 10 2 124

SPT(16)	2749634926484335577	0 36 72 116 134 230 234 260 366 392 396 492 510 554 590 626	-2430803970912
SPT(16)	2749635002925069887	0 12 14 26 50 56 102 144 182 224 270 276 300 312 314 326	-2354363236602
SPT(16)	2749635082804972231	0 18 52 70 108 130 132 160 438 466 468 490 528 546 580 598	-2274483334258
SPT(16)	2749635188202143807	0 26 54 80 114 132 222 252 254 284 374 392 426 452 480 506	-2169086162682
SPT(16)	2749635217444252759	0 12 30 52 58 70 94 144 178 228 252 264 270 292 310 322	-2139844053730
SPT(16)	2749636979172986839	0 4 34 60 88 132 150 244 378 472 490 534 562 588 618 622	-378115319650
SPT(16)	2749638113064738013	0 24 28 60 100 138 156 180 184 208 226 264 304 336 340 364	755776431524
SPT(16)	2749638301989343753	0 10 118 120 148 178 204 214 300 310 336 366 394 396 504 514	944701037264
SPT(16)	2749638447988898639	0 18 50 78 104 108 120 182 210 272 284 288 314 342 374 392	1090700592150
SPT(16)	2749638526714730701	0 22 30 36 46 52 66 100 108 142 156 162 172 178 186 208	1169426424212
STPT(10)	2749638575788925369	0 2 48 50 90 92 132 134 180 182	1218500618880