Prime p₀= 1331272892657995871 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 118 2 22 2 124 2 28 2 22 2 (?)
a_n: 0 2 6 8 126 128 150 152 276 278 306 308 330 332
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 332
Found by: vaughan
db: batch=77, k=14, 4 118 22 124 28 22

SPT(16)	1331271828578929453	0 6 24 46 66 76 100 166 228 294 318 328 348 370 388 394	-1064079066418
SPT(20)	1331272030209551449	0 28 40 84 94 160 174 244 264 312 370 418 438 508 522 588 598 642 654 682	-862448444422
SPT(16)	1331272234290071473	0 4 24 46 60 70 88 148 186 246 264 274 288 310 330 334	-658367924398
STPT(10)	1331272389427760951	0 2 78 80 108 110 138 140 216 218	-503230234920
TPT(14)	1331272574883122021	0 2 66 68 126 128 210 212 216 218 258 260 300 302	-317774873850
SPT(16)	1331272605596712539	0 8 74 134 168 182 272 300 362 390 480 494 528 588 654 662	-287061283332
SPT(16)	1331272946873394913	0 34 136 150 208 220 226 334 420 528 534 546 604 618 720 754	54215399042
TPT(14)	1331273057057179361	0 2 240 242 270 272 378 380 450 452 690 692 726 728	164399183490
SPT(16)	1331273068546934231	0 6 36 78 96 98 120 138 140 158 180 182 200 242 272 278	175888938360
SPT(16)	1331273476214611063	0 10 28 36 70 148 150 154 270 274 276 354 388 396 414 424	583556615192
STPT(10)	1331273989950869537	0 2 24 26 42 44 60 62 84 86	1097292873666