Prime p₀= 2437292833294883099 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 46 2 130 2 34 2 52 2 166 2 (?)
a_n: 0 2 42 44 90 92 222 224 258 260 312 314 480 482
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: 482
Found by: Penguin
db: batch=82, k=14, 40 46 130 34 52 166

SPT(16)	2437291087922090327	0 32 36 110 170 182 224 252 314 342 384 396 456 530 534 566	-1745372792772
STPT(10)	2437291304323288067	0 2 30 32 72 74 114 116 144 146	-1528971595032
STPT(10)	2437291600846363757	0 2 60 62 72 74 84 86 144 146	-1232448519342
SPT(16)	2437291938334844443	0 34 40 58 100 118 130 166 228 264 276 294 336 354 360 394	-894960038656
STPT(10)	2437292574069754229	0 2 12 14 90 92 168 170 180 182	-259225128870
SPT(16)	2437292628316823951	0 6 36 72 150 156 192 218 240 266 302 308 386 422 452 458	-204978059148
TPT(14)	2437293350940485447	0 2 12 14 54 56 60 62 90 92 114 116 132 134	517645602348
STPT(10)	2437293596452025027	0 2 54 56 132 134 210 212 264 266	763157141928
STPT(10)	2437294016904534647	0 2 30 32 72 74 114 116 144 146	1183609651548
STPT(10)	2437294207382495639	0 2 12 14 90 92 168 170 180 182	1374087612540
SPT(16)	2437294264080794761	0 10 16 48 52 96 100 102 166 168 172 216 220 252 258 268	1430785911662