Prime p₀= 2417053029394882661 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 124 2 40 2 10 2 16 2 88 2 (?)
a_n: 0 2 30 32 156 158 198 200 210 212 228 230 318 320
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: 320
Found by: [SG-FC] hl
db: batch=82, k=14, 28 124 40 10 16 88

SPT(16)	2417052420211619413	0 34 40 114 156 166 238 276 478 516 588 598 640 714 720 754	-609183263248
TPT(14)	2417052495054087641	0 2 18 20 78 80 90 92 126 128 156 158 168 170	-534340795020
SPT(16)	2417052583272473173	0 54 66 126 130 154 178 186 208 216 240 264 268 328 340 394	-446122409488
STPT(10)	2417052656559219797	0 2 30 32 42 44 54 56 84 86	-372835662864
SPT(16)	2417052955360524653	0 30 84 98 110 144 168 170 228 230 254 288 300 314 368 398	-74034358008
SPT(16)	2417052989654813093	0 6 20 44 48 50 56 86 138 168 174 176 180 204 218 224	-39740069568
SPT(16)	2417053147763993989	0 82 112 120 150 172 178 280 312 414 420 442 472 480 510 592	118369111328
SPT(16)	2417053394726137499	0 12 24 72 80 90 98 120 182 204 212 222 230 278 290 302	365331254838
SPT(16)	2417053416241941353	0 6 86 90 108 114 144 156 218 230 260 266 284 288 368 374	386847058692
STPT(10)	2417053484342858069	0 2 18 20 60 62 102 104 120 122	454947975408
STPT(10)	2417054346389924069	0 2 48 50 90 92 132 134 180 182	1316995041408