Prime p₀= 2406899070013486457 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 28 2 106 2 16 2 40 2 118 2 (?)
a_n: 0 2 24 26 54 56 162 164 180 182 222 224 342 344
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: 344
Found by: Penguin
db: batch=82, k=14, 22 28 106 16 40 118

TPT(14)	2406897880864441661	0 2 6 8 90 92 180 182 186 188 210 212 240 242	-1189149044796
TPT(14)	2406897896746163591	0 2 66 68 138 140 168 170 210 212 276 278 348 350	-1173267322866
STPT(10)	2406898035980316407	0 2 12 14 42 44 72 74 84 86	-1034033170050
SPT(16)	2406898091478134101	0 16 18 22 100 108 130 136 162 168 190 198 276 280 282 298	-978535352356
SPT(16)	2406898545017697761	0 20 66 120 128 150 156 162 176 182 188 210 218 272 318 338	-524995788696
SPT(16)	2406898756133306419	0 12 52 90 150 160 174 234 238 298 312 322 382 420 460 472	-313880180038
SPT(16)	2406899681843550401	0 56 92 110 126 132 138 146 162 170 176 182 198 216 252 308	611830063944
SPT(16)	2406899910536095511	0 18 20 26 56 60 62 78 80 96 98 102 132 138 140 158	840522609054
STPT(10)	2406900024846680327	0 2 30 32 42 44 54 56 84 86	954833193870
SPT(16)	2406900158644609057	0 70 96 106 132 204 300 334 492 526 622 694 720 730 756 826	1088631122600
TPT(14)	2406900463980812201	0 2 48 50 78 80 108 110 138 140 150 152 210 212	1393967325744