Prime p₀= 2253444392886264761 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 10 2 16 2 28 2 10 2 10 2 (?)
a_n: 0 2 66 68 78 80 96 98 126 128 138 140 150 152
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: 152
Found by: [SG-2W]Kurzer
db: batch=81, k=14, 64 10 16 28 10 10

SPT(16)	2253443354429654063	0 14 26 98 146 176 204 260 264 320 348 378 426 498 510 524	-1038456610698
SPT(16)	2253443355770089547	0 12 32 72 74 84 86 116 120 150 152 162 164 204 224 236	-1037116175214
STPT(10)	2253443469954807341	0 2 30 32 78 80 126 128 156 158	-922931457420
SPT(16)	2253443476646008369	0 34 94 118 162 198 202 238 324 360 364 400 444 468 528 562	-916240256392
TPT(14)	2253443980465838009	0 2 78 80 90 92 150 152 210 212 252 254 288 290	-412420426752
TPT(14)	2253444030220399691	0 2 6 8 78 80 138 140 306 308 330 332 510 512	-362665865070
STPT(10)	2253444758978211749	0 2 18 20 30 32 42 44 60 62	366091946988
STPT(10)	2253444883300534667	0 2 72 74 102 104 132 134 204 206	490414269906
STPT(10)	2253445404864653771	0 2 36 38 78 80 120 122 156 158	1011978389010
STPT(10)	2253445434064096169	0 2 42 44 60 62 78 80 120 122	1041177831408
SPT(16)	2253445604523515509	0 22 48 70 162 174 184 214 258 288 298 310 402 424 450 472	1211637250748