Prime p₀= 2722267217414989469 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 40 2 70 2 4 2 10 2 28 2 (?)
a_n: 0 2 78 80 120 122 192 194 198 200 210 212 240 242
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: 242
Found by: JayPi
db: batch=82, k=14, 76 40 70 4 10 28

SPT(20)	2722265728267638727	0 10 52 76 100 114 132 154 192 304 342 454 492 514 532 546 570 594 636 646	-1489147350742
SPT(16)	2722265904342893563	0 18 78 114 130 174 186 228 256 298 310 354 370 406 466 484	-1313072095906
SPT(16)	2722265997552172031	0 6 32 56 116 120 158 186 242 270 308 312 372 396 422 428	-1219862817438
TPT(16)	2722266419537880767	0 2 54 56 102 104 192 194 210 212 294 296 360 362 444 446	-797877108702
SPT(16)	2722266769200386621	0 42 90 92 110 132 162 206 222 266 296 318 336 338 386 428	-448214602848
SPT(16)	2722267127749479941	0 8 42 56 68 92 102 120 158 176 186 210 222 236 270 278	-89665509528
STPT(10)	2722268010544176971	0 2 30 32 60 62 90 92 120 122	793129187502
SPT(16)	2722268213960921011	0 18 148 156 166 172 228 232 246 250 306 312 322 330 460 478	996545931542
STPT(10)	2722268305729572527	0 2 12 14 72 74 132 134 144 146	1088314583058
STPT(10)	2722268538387233357	0 2 30 32 42 44 54 56 84 86	1320972243888
SPT(16)	2722270055015333401	0 10 22 36 88 90 106 112 186 192 208 210 262 276 288 298	2837600343932