Prime p₀= 1979382882435546587 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 16 2 10 2 190 2 46 2 40 2 (?)
a_n: 0 2 42 44 60 62 72 74 264 266 312 314 354 356
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: 356
Found by: Landjunge
db: batch=80, k=14, 40 16 10 190 46 40

TPT(14)	1979380262874981521	0 2 18 20 78 80 90 92 156 158 216 218 240 242	-2619560565066
STPT(10)	1979380864289204219	0 2 18 20 30 32 42 44 60 62	-2018146342368
SPT(16)	1979381783189381189	0 38 54 62 84 90 110 114 188 192 212 218 240 248 264 302	-1099246165398
SPT(16)	1979381896530418229	0 14 38 54 84 98 104 128 174 198 204 218 248 264 288 302	-985905128358
SPT(16)	1979382085632108541	0 70 72 82 126 130 160 186 196 222 252 256 300 310 312 382	-796803438046
SPT(16)	1979382741928993487	0 14 30 50 84 102 150 162 164 176 224 242 276 296 312 326	-140506553100
SPT(16)	1979383042099575731	0 42 66 72 90 108 126 156 192 222 240 258 276 282 306 348	159664029144
SPT(16)	1979383297579950953	0 18 98 144 164 276 318 360 494 536 578 690 710 756 836 854	415144404366
STPT(10)	1979383326289750487	0 2 30 32 42 44 54 56 84 86	443854203900
SPT(16)	1979383460188741219	0 12 18 60 64 72 82 148 204 270 280 288 292 334 340 352	577753194632
SPT(16)	1979383489043360759	0 14 24 80 102 134 182 218 234 270 318 350 372 428 438 452	606607814172