Prime p₀= 2777642859334818017 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 16 2 16 2 88 2 58 2 10 2 (?)
a_n: 0 2 54 56 72 74 90 92 180 182 240 242 252 254
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: 254
Found by: JayPi
db: batch=82, k=14, 52 16 16 88 58 10

TPT(14)	2777641511046856409	0 2 18 20 42 44 138 140 180 182 228 230 300 302	-1348287961608
SPT(16)	2777641878050727619	0 72 180 252 274 294 310 354 358 402 418 438 460 532 640 712	-981284090398
STPT(10)	2777642027118401897	0 2 24 26 42 44 60 62 84 86	-832216416120
SPT(16)	2777642062396928371	0 40 46 88 100 108 166 196 210 240 298 306 318 360 366 406	-796937889646
SPT(16)	2777642098739630911	0 28 78 90 120 130 148 162 178 192 210 220 250 262 312 340	-760595187106
SPT(16)	2777642104683128671	0 30 72 106 108 118 130 172 216 258 270 280 282 316 358 388	-754651689346
SPT(16)	2777643281409565199	0 8 42 102 108 138 270 284 288 302 434 464 470 530 564 572	422074747182
SPT(16)	2777643365669744597	0 12 32 60 90 104 116 176 180 240 252 266 296 324 344 356	506334926580
STPT(10)	2777643573504610631	0 2 6 8 18 20 30 32 36 38	714169792614
SPT(16)	2777643838178923027	0 4 30 34 172 174 186 196 240 250 262 264 402 406 432 436	978844105010
STPT(10)	2777644555605808841	0 2 36 38 138 140 240 242 276 278	1696270990824