Prime p₀= 2462538233266439969 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 88 2 34 2 88 2 40 2 (?)
a_n: 0 2 42 44 132 134 168 170 258 260 300 302
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: 302
Found by: [SG-FC] hl
db: batch=82, k=12, 2 40 2 88 2 34

SPT(16)	2462537071154163287	0 56 104 116 126 140 152 170 186 204 216 230 240 252 300 356	-1162112276682
STPT(10)	2462537081797420721	0 2 36 38 78 80 120 122 156 158	-1151469019248
SPT(16)	2462537404975988429	0 50 74 84 152 182 224 264 398 438 480 510 578 588 612 662	-828290451540
SPT(16)	2462537482799958787	0 10 34 84 150 210 216 240 256 280 286 346 412 462 486 496	-750466481182
STPT(10)	2462537847706297349	0 2 18 20 30 32 42 44 60 62	-385560142620
SPT(16)	2462537931621558599	0 42 48 50 84 132 168 228 284 344 380 428 462 464 470 512	-301644881370
SPT(20)	2462538272007912731	0 2 86 138 162 180 206 218 318 320 348 350 450 462 488 506 530 582 666 668	38741472762
STPT(12)	2462538844055489741	0 2 66 68 120 122 126 128 180 182 246 248	610789049772
SPT(16)	2462539348191384569	0 24 78 90 98 120 174 204 254 284 338 360 368 380 434 458	1114924944600
SPT(16)	2462539485277116587	0 6 116 144 146 174 180 194 396 410 416 444 446 474 584 590	1252010676618
SPT(16)	2462539609945676809	0 34 94 108 144 168 198 240 298 340 370 394 430 444 504 538	1376679236840