Prime p₀= 2703189010505964371 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 106 2 28 2 40 2 46 2 10 2 34 2 (?)
a_n: 0 2 108 110 138 140 180 182 228 230 240 242 276 278
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: 278
Found by: biodoc
db: batch=82, k=14, 106 28 40 46 10 34

SPT(16)	2703188336720085589	0 12 22 30 64 114 168 174 238 244 298 348 382 390 400 412	-673785878782
STPT(10)	2703188425618217321	0 2 36 38 78 80 120 122 156 158	-584887747050
SPT(16)	2703188494473383509	0 10 28 84 88 108 132 150 172 190 214 234 238 294 312 322	-516032580862
SPT(16)	2703188606411324887	0 6 16 64 144 204 226 256 270 300 322 382 462 510 520 526	-404094639484
STPT(10)	2703188659399241747	0 2 30 32 42 44 54 56 84 86	-351106722624
STPT(10)	2703188819226050297	0 2 72 74 102 104 132 134 204 206	-191279914074
SPT(16)	2703189129956797879	0 12 28 34 52 90 108 124 138 154 172 210 228 234 250 262	119450833508
STPT(10)	2703189413227676699	0 2 18 20 30 32 42 44 60 62	402721712328
STPT(10)	2703189508397578127	0 2 54 56 72 74 90 92 144 146	497891613756
SPT(16)	2703189574136942237	0 36 54 102 110 200 222 240 266 284 306 396 404 452 470 506	563630977866
SPT(16)	2703189579794665397	0 2 14 36 56 72 74 102 104 132 134 150 170 192 204 206	569288701026