Prime p₀= 3014269829295023567 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 82 2 16 2 28 2 136 2 10 2 (?)
a_n: 0 2 30 32 114 116 132 134 162 164 300 302 312 314
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: 314
Found by: fzs600
db: batch=82, k=14, 28 82 16 28 136 10

TPT(14)	3014268113675584991	0 2 30 32 78 80 96 98 120 122 198 200 210 212	-1715619438576
SPT(16)	3014268158947256819	0 20 24 32 54 72 84 110 144 170 182 200 222 230 234 254	-1670347766748
SPT(16)	3014268329361700907	0 14 20 44 80 132 152 210 236 294 314 366 402 426 432 446	-1499933322660
STPT(10)	3014269220113832897	0 2 60 62 72 74 84 86 144 146	-609181190670
SPT(16)	3014269384426875821	0 2 32 50 102 122 162 176 192 206 246 266 318 336 366 368	-444868147746
STPT(10)	3014269628760484151	0 2 36 38 78 80 120 122 156 158	-200534539416
TPT(14)	3014269880414392331	0 2 18 20 30 32 138 140 240 242 270 272 348 350	51119368764
SPT(16)	3014270310211171079	0 18 74 84 90 110 132 168 194 230 252 272 278 288 344 362	480916147512
SPT(16)	3014270348039929637	0 42 92 116 120 126 152 182 240 270 296 302 306 330 380 422	518744906070
SPT(16)	3014270496007853587	0 22 40 60 114 156 162 190 246 274 280 322 376 396 414 436	666712830020
SPT(16)	3014270853691825921	0 22 30 88 90 112 156 162 166 172 216 238 240 298 306 328	1024396802354