Prime p₀= 2462538844055489741 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 64 2 52 2 4 2 52 2 64 2 (?)
a_n: 0 2 66 68 120 122 126 128 180 182 246 248
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: 248
Found by: [SG-FC] hl
db: batch=82, k=12, 2 64 2 52 2 4

SPT(16)	2462537404975988429	0 50 74 84 152 182 224 264 398 438 480 510 578 588 612 662	-1439079501312
SPT(16)	2462537482799958787	0 10 34 84 150 210 216 240 256 280 286 346 412 462 486 496	-1361255530954
STPT(10)	2462537847706297349	0 2 18 20 30 32 42 44 60 62	-996349192392
SPT(16)	2462537931621558599	0 42 48 50 84 132 168 228 284 344 380 428 462 464 470 512	-912433931142
STPT(12)	2462538233266439969	0 2 42 44 132 134 168 170 258 260 300 302	-610789049772
SPT(20)	2462538272007912731	0 2 86 138 162 180 206 218 318 320 348 350 450 462 488 506 530 582 666 668	-572047577010
SPT(16)	2462539348191384569	0 24 78 90 98 120 174 204 254 284 338 360 368 380 434 458	504135894828
SPT(16)	2462539485277116587	0 6 116 144 146 174 180 194 396 410 416 444 446 474 584 590	641221626846
SPT(16)	2462539609945676809	0 34 94 108 144 168 198 240 298 340 370 394 430 444 504 538	765890187068
STPT(10)	2462539780285359371	0 2 36 38 78 80 120 122 156 158	936229869630
STPT(10)	2462539868292363281	0 2 36 38 78 80 120 122 156 158	1024236873540