Prime p₀= 1094240908013881151 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 94 2 10 2 160 2 64 2 10 2 16 2 (?)
a_n: 0 2 96 98 108 110 270 272 336 338 348 350 366 368
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: 368
Found by: crashtech
db: batch=76, k=14, 94 10 160 64 10 16

SPT(16)	1094240137255924639	0 30 40 54 70 102 138 154 168 184 220 252 268 282 292 322	-770757956512
SPT(20)	1094240197194414139	0 24 30 48 52 70 114 150 168 172 240 244 262 298 342 360 364 382 388 412	-710819467012
STPT(10)	1094240368797291179	0 2 48 50 60 62 72 74 120 122	-539216589972
SPT(16)	1094240486467940143	0 16 48 96 100 114 126 166 198 238 250 264 268 316 348 364	-421545941008
STPT(10)	1094240642146430921	0 2 6 8 18 20 30 32 36 38	-265867450230
STPT(10)	1094240687721639047	0 2 42 44 72 74 102 104 144 146	-220292242104
STPT(10)	1094241207029740571	0 2 6 8 48 50 90 92 96 98	299015859420
STPT(10)	1094241233108813759	0 2 12 14 30 32 48 50 60 62	325094932608
SPT(16)	1094241450477495797	0 50 74 116 140 182 254 372 374 492 564 606 630 672 696 746	542463614646
STPT(10)	1094241549715563239	0 2 48 50 90 92 132 134 180 182	641701682088
STPT(10)	1094241816099125249	0 2 48 50 90 92 132 134 180 182	908085244098