Prime p₀= 2340145780004801297 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 28 2 16 2 88 2 40 2 16 2 (?)
a_n: 0 2 42 44 72 74 90 92 180 182 222 224 240 242
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-2W]Kurzer
db: batch=81, k=14, 40 28 16 88 40 16

SPT(16)	2340143700347165483	0 18 44 50 60 84 128 134 144 150 194 218 228 234 260 278	-2079657635814
STPT(10)	2340143969575642301	0 2 30 32 78 80 126 128 156 158	-1810429158996
STPT(10)	2340144055752360887	0 2 30 32 42 44 54 56 84 86	-1724252440410
STPT(10)	2340144219889952291	0 2 6 8 48 50 90 92 96 98	-1560114849006
STPT(10)	2340144696896834279	0 2 12 14 90 92 168 170 180 182	-1083107967018
SPT(16)	2340145421872132871	0 6 62 72 120 132 146 168 170 192 206 218 266 276 332 338	-358132668426
SPT(16)	2340145808474669467	0 76 100 114 126 130 132 136 150 154 156 160 172 186 210 286	28469868170
STPT(10)	2340145989356909021	0 2 36 38 78 80 120 122 156 158	209352107724
SPT(16)	2340146266622412517	0 42 66 106 126 136 150 162 184 196 210 220 240 280 304 346	486617611220
SPT(16)	2340146434941506641	0 28 36 48 52 58 72 76 102 106 120 126 130 142 150 178	654936705344
SPT(16)	2340146578852503611	0 32 60 68 86 168 218 242 246 270 320 402 420 428 456 488	798847702314