Prime p₀= 2378098756169930489 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 4 2 40 2 76 2 82 2 (?)
a_n: 0 2 12 14 42 44 48 50 90 92 168 170 252 254
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: 254
Found by: [SG-2W]Kurzer
db: batch=81, k=14, 10 28 4 40 76 82

STPT(10)	2378096956280201249	0 2 30 32 60 62 90 92 120 122	-1799889729240
STPT(10)	2378097069618839837	0 2 90 92 102 104 114 116 204 206	-1686551090652
STPT(10)	2378097085084037477	0 2 30 32 42 44 54 56 84 86	-1671085893012
SPT(16)	2378097494943762947	0 32 50 80 84 92 102 122 144 164 174 182 186 216 234 266	-1261226167542
SPT(16)	2378097956583331231	0 6 36 90 96 130 142 196 216 270 282 316 322 376 406 412	-799586599258
STPT(10)	2378098638154241789	0 2 48 50 90 92 132 134 180 182	-118015688700
STPT(10)	2378098882332881759	0 2 42 44 60 62 78 80 120 122	126162951270
STPT(12)	2378099261425252397	0 2 30 32 42 44 90 92 102 104 132 134	505255321908
SPT(16)	2378099943585594971	0 8 26 36 72 80 86 108 140 162 168 176 212 222 240 248	1187415664482
SPT(16)	2378100235291674809	0 2 38 60 108 240 290 312 320 342 392 524 572 594 630 632	1479121744320
STPT(10)	2378100317895491927	0 2 90 92 132 134 174 176 264 266	1561725561438