Prime p₀= 2942445185944037441 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 40 2 16 2 160 2 88 2 46 2 (?)
a_n: 0 2 66 68 108 110 126 128 288 290 378 380 426 428
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: 428
Found by: Alnitak2019
db: batch=82, k=14, 64 40 16 160 88 46

SPT(16)	2942443686730182983	0 20 56 74 126 174 188 200 204 216 230 278 330 348 384 404	-1499213854458
SPT(16)	2942444216938032223	0 18 36 40 46 70 88 106 120 138 156 180 186 190 208 226	-969006005218
SPT(16)	2942444321042917511	0 6 38 62 66 90 146 162 176 192 248 272 276 300 332 338	-864901119930
STPT(10)	2942444413163847329	0 2 48 50 90 92 132 134 180 182	-772780190112
SPT(16)	2942444572163230601	0 26 90 108 126 150 158 176 192 210 218 242 260 278 342 368	-613780806840
SPT(16)	2942444693791176803	0 14 54 78 104 120 126 138 146 158 164 180 206 230 270 284	-492152860638
SPT(16)	2942445222323046667	0 66 82 84 94 100 142 156 160 174 216 222 232 234 250 316	36379009226
SPT(16)	2942445312078064957	0 10 52 76 114 124 126 136 180 190 192 202 240 264 306 316	126134027516
SPT(16)	2942445319220302681	0 10 18 52 132 162 178 210 220 252 268 298 378 412 420 430	133276265240
STPT(10)	2942445485676138179	0 2 48 50 90 92 132 134 180 182	299732100738
STPT(10)	2942445727110819869	0 2 42 44 60 62 78 80 120 122	541166782428