Prime p₀= 934378918686420287 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 34 2 28 2 28 2 40 2 40 2 (?)
a_n: 0 2 54 56 90 92 120 122 150 152 192 194 234 236
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: 236
Found by: Alnitak2019
db: batch=76, k=14, 52 34 28 28 40 40

TPT(14)	934377031522116899	0 2 162 164 252 254 288 290 318 320 330 332 342 344	-1887164303388
STPT(10)	934377248164051997	0 2 30 32 42 44 54 56 84 86	-1670522368290
STPT(12)	934377254694622577	0 2 12 14 54 56 60 62 102 104 114 116	-1663991797710
SPT(16)	934377464787347149	0 10 18 52 78 100 108 114 148 154 162 184 210 244 252 262	-1453899073138
STPT(10)	934377554244569189	0 2 18 20 30 32 42 44 60 62	-1364441851098
STPT(10)	934377720198612791	0 2 6 8 48 50 90 92 96 98	-1198487807496
SPT(16)	934379307619353391	0 42 66 78 96 118 148 160 168 180 210 232 250 262 286 328	388932933104
STPT(10)	934379377999708181	0 2 30 32 78 80 126 128 156 158	459313287894
SPT(13)	934379889663033701	0 42 72 90 96 132 156 180 216 222 240 270 312	970976613414
STPT(10)	934379952529367261	0 2 30 32 78 80 126 128 156 158	1033842946974
STPT(10)	934380005399905457	0 2 30 32 42 44 54 56 84 86	1086713485170