Prime p₀= 2662842923919564311 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 76 2 40 2 40 2 16 2 28 2 (?)
a_n: 0 2 48 50 126 128 168 170 210 212 228 230 258 260
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: 260
Found by: JayPi
db: batch=82, k=14, 46 76 40 40 16 28

SPT(16)	2662841298611515577	0 20 66 84 96 122 140 150 206 216 234 260 272 290 336 356	-1625308048734
STPT(10)	2662841520835738547	0 2 30 32 42 44 54 56 84 86	-1403083825764
SPT(16)	2662841912489047997	0 36 50 74 80 116 186 224 246 284 354 390 396 420 434 470	-1011430516314
STPT(10)	2662842251232868277	0 2 60 62 72 74 84 86 144 146	-672686696034
SPT(16)	2662842384424824853	0 10 40 54 174 228 234 238 276 280 286 340 460 474 504 514	-539494739458
STPT(10)	2662842541438227677	0 2 42 44 72 74 102 104 144 146	-382481336634
SPT(16)	2662842988954753427	0 12 20 56 174 180 252 272 414 434 506 512 630 666 674 686	65035189116
SPT(16)	2662843643555076041	0 8 20 36 42 48 60 68 120 128 140 146 152 168 180 188	719635511730
SPT(16)	2662843753812872087	0 20 84 134 174 210 332 350 384 402 524 560 600 650 714 734	829893307776
SPT(16)	2662843902331326349	0 10 12 52 58 72 82 124 168 210 220 234 240 280 282 292	978411762038
SPT(16)	2662844236767437461	0 12 16 18 30 96 100 126 142 168 172 238 250 252 256 268	1312847873150