Prime p₀= 2750805504410676827 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 28 2 10 2 46 2 10 2 64 2 (?)
a_n: 0 2 72 74 102 104 114 116 162 164 174 176 240 242
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: 242
Found by: [SG-FC] hl
db: batch=82, k=14, 70 28 10 46 10 64

SPT(16)	2750802632372985611	0 36 56 68 78 126 168 186 200 218 260 308 318 330 350 386	-2872037691216
SPT(16)	2750802918121263541	0 12 22 70 72 90 138 252 328 442 490 508 510 558 568 580	-2586289413286
SPT(16)	2750803949700129247	0 16 60 100 106 156 184 196 264 276 304 354 360 400 444 460	-1554710547580
SPT(16)	2750804622232800923	0 30 54 56 98 140 164 174 230 240 264 306 348 350 374 404	-882177875904
TPT(14)	2750804637443471099	0 2 150 152 162 164 168 170 192 194 240 242 282 284	-866967205728
STPT(12)	2750805111969374351	0 2 36 38 48 50 78 80 90 92 126 128	-392441302476
SPT(16)	2750805728337772723	0 16 88 160 190 204 216 238 276 298 310 324 354 426 498 514	223927095896
STPT(10)	2750805783728552519	0 2 12 14 30 32 48 50 60 62	279317875692
SPT(16)	2750806591455321499	0 24 42 84 102 172 178 192 220 234 240 310 328 370 388 412	1087044644672
STPT(10)	2750806606872079961	0 2 6 8 18 20 30 32 36 38	1102461403134
TPT(14)	2750806612850892611	0 2 36 38 66 68 96 98 108 110 120 122 246 248	1108440215784