Prime p₀= 2777807053170885551 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 52 2 64 2 58 2 22 2 46 2 (?)
a_n: 0 2 6 8 60 62 126 128 186 188 210 212 258 260
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: 260
Found by: JayPi
db: batch=82, k=14, 4 52 64 58 22 46

STPT(10)	2777806360868978639	0 2 12 14 90 92 168 170 180 182	-692301906912
TPT(14)	2777806479235838591	0 2 48 50 78 80 90 92 126 128 186 188 228 230	-573935046960
SPT(16)	2777806618893611197	0 12 40 90 112 144 184 214 282 312 352 384 406 456 484 496	-434277274354
SPT(16)	2777806781611997767	0 16 22 30 52 100 144 150 316 322 366 414 436 444 450 466	-271558887784
SPT(16)	2777806787928603859	0 28 30 42 52 54 178 240 292 354 478 480 490 502 504 532	-265242281692
STPT(10)	2777806932569597471	0 2 6 8 48 50 90 92 96 98	-120601288080
SPT(16)	2777807196384733763	0 20 48 50 110 116 174 188 216 230 288 294 354 356 384 404	143213848212
STPT(10)	2777807619771549107	0 2 12 14 42 44 72 74 84 86	566600663556
SPT(16)	2777807641250573291	0 48 50 96 122 138 162 182 216 236 260 276 302 348 350 398	588079687740
SPT(16)	2777807844552069271	0 12 48 76 90 106 118 120 178 180 192 208 222 250 286 298	791381183720
STPT(10)	2777807945053984691	0 2 36 38 78 80 120 122 156 158	891883099140