Prime p₀= 2055651280633108547 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 70 2 16 2 46 2 88 2 22 2 (?)
a_n: 0 2 42 44 114 116 132 134 180 182 270 272 294 296
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: 296
Found by: Landjunge
db: batch=80, k=14, 40 70 16 46 88 22

TPT(14)	2055650162446353311	0 2 18 20 156 158 180 182 198 200 450 452 486 488	-1118186755236
SPT(16)	2055650191850846531	0 42 48 66 78 96 110 156 272 318 332 350 362 380 386 428	-1088782262016
STPT(10)	2055650750608543349	0 2 18 20 30 32 42 44 60 62	-530024565198
TPT(14)	2055650875918843739	0 2 18 20 30 32 90 92 132 134 180 182 222 224	-404714264808
STPT(10)	2055650977459473809	0 2 18 20 30 32 42 44 60 62	-303173634738
SPT(16)	2055651113428918361	0 2 20 90 102 108 152 168 170 186 230 236 248 318 336 338	-167204190186
STPT(10)	2055651311070747329	0 2 42 44 60 62 78 80 120 122	30437638782
SPT(16)	2055651426857037973	0 6 28 34 94 138 196 208 216 228 286 330 390 396 418 424	146223929426
SPT(16)	2055651497234216327	0 6 12 20 26 54 66 110 216 260 272 300 306 314 320 326	216601107780
SPT(16)	2055651712395840781	0 6 106 136 166 208 216 238 258 280 288 330 360 390 490 496	431762732234
SPT(16)	2055651997070684273	0 8 78 84 134 158 200 248 270 318 360 384 434 440 510 518	716437575726