Prime p₀= 2940202792358775857 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 46 2 10 2 106 2 58 2 28 2 (?)
a_n: 0 2 42 44 90 92 102 104 210 212 270 272 300 302
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: 302
Found by: [SG-FC] hl
db: batch=82, k=14, 40 46 10 106 58 28

SPT(16)	2940201884024599853	0 8 38 96 114 128 168 170 204 206 246 260 278 336 366 374	-908334176004
SPT(16)	2940202049254201471	0 36 60 70 78 88 102 112 126 136 150 160 168 178 202 238	-743104574386
SPT(16)	2940202408246071953	0 36 56 84 116 134 150 168 176 194 210 228 260 288 308 344	-384112703904
STPT(10)	2940202426215354239	0 2 18 20 30 32 42 44 60 62	-366143421618
SPT(16)	2940202475384360911	0 18 60 72 102 112 118 138 202 222 228 238 268 280 322 340	-316974414946
SPT(16)	2940202741477558159	0 10 18 28 42 70 78 84 88 94 102 130 144 154 162 172	-50881217698
STPT(10)	2940203691957799637	0 2 30 32 42 44 54 56 84 86	899599023780
SPT(16)	2940204198098202103	0 70 90 96 106 124 136 180 190 234 246 264 274 280 300 370	1405739426246
SPT(16)	2940204251930122591	0 18 36 40 46 52 82 88 120 126 156 162 168 172 190 208	1459571346734
STPT(10)	2940204502842979739	0 2 12 14 90 92 168 170 180 182	1710484203882
STPT(10)	2940204612710994437	0 2 54 56 72 74 90 92 144 146	1820352218580