Prime p₀= 2427544355072586689 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 130 2 64 2 40 2 100 2 64 2 70 2 (?)
a_n: 0 2 132 134 198 200 240 242 342 344 408 410 480 482
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: 482
Found by: JayPi
db: batch=82, k=14, 130 64 40 100 64 70

STPT(10)	2427543455436154379	0 2 18 20 30 32 42 44 60 62	-899636432310
SPT(16)	2427543915747909709	0 4 34 70 88 168 174 214 258 298 304 384 402 438 468 472	-439324676980
SPT(16)	2427544087135105711	0 6 12 28 42 48 70 82 156 168 190 196 210 226 232 238	-267937480978
SPT(16)	2427544177705354483	0 6 24 28 84 118 136 150 184 198 216 250 306 310 328 334	-177367232206
SPT(16)	2427544331887575611	0 18 32 60 78 96 116 120 218 222 242 260 278 306 320 338	-23185011078
SPT(16)	2427544350771849073	0 34 76 78 84 150 168 174 220 226 244 310 316 318 360 394	-4300737616
SPT(16)	2427544707025230973	0 24 34 78 130 154 190 196 228 234 270 294 346 390 400 424	351952644284
STPT(10)	2427545180631600509	0 2 18 20 30 32 42 44 60 62	825559013820
STPT(10)	2427545576163530159	0 2 78 80 120 122 162 164 240 242	1221090943470
STPT(10)	2427545772265250711	0 2 6 8 48 50 90 92 96 98	1417192664022
STPT(10)	2427545811906255881	0 2 36 38 78 80 120 122 156 158	1456833669192