Prime p₀= 2362555729327996649 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 52 2 28 2 4 2 40 2 40 2 (?)
a_n: 0 2 18 20 72 74 102 104 108 110 150 152 192 194
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: 194
Found by: Landjunge
db: batch=81, k=14, 16 52 28 4 40 40

STPT(10)	2362554801981775937	0 2 30 32 42 44 54 56 84 86	-927346220712
SPT(16)	2362554973083812011	0 16 30 130 136 186 220 228 238 246 280 330 336 436 450 466	-756244184638
SPT(16)	2362555544182401749	0 38 98 110 140 158 180 188 234 242 264 282 312 324 384 422	-185145594900
STPT(10)	2362555592727240257	0 2 12 14 42 44 72 74 84 86	-136600756392
STPT(10)	2362555624558158059	0 2 18 20 30 32 42 44 60 62	-104769838590
SPT(16)	2362555675842989023	0 24 48 106 150 244 250 330 334 414 420 514 558 616 640 664	-53485007626
SPT(16)	2362555823888565341	0 2 12 18 56 60 86 116 192 222 248 252 290 296 306 308	94560568692
STPT(10)	2362555926774800849	0 2 78 80 120 122 162 164 240 242	197446804200
SPT(16)	2362556034773709637	0 22 36 46 126 162 174 196 210 232 244 280 360 370 384 406	305445712988
SPT(16)	2362556252788822327	0 52 84 94 102 136 150 180 256 286 300 334 342 352 384 436	523460825678
SPT(16)	2362556301150093691	0 40 42 76 88 90 130 132 166 168 208 210 222 256 258 298	571822097042