Prime p₀= 2355577717029271619 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 106 2 70 2 28 2 4 2 58 2 (?)
a_n: 0 2 42 44 150 152 222 224 252 254 258 260 318 320
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: 320
Found by: [AF] Kalianthys
db: batch=81, k=14, 40 106 70 28 4 58

STPT(10)	2355577120648204637	0 2 30 32 60 62 90 92 120 122	-596381066982
STPT(10)	2355577151917875047	0 2 30 32 42 44 54 56 84 86	-565111396572
SPT(16)	2355577158511977073	0 6 24 70 90 114 136 154 216 234 256 280 300 346 364 370	-558517294546
SPT(16)	2355577381497782417	0 20 24 54 62 84 92 110 204 222 230 252 260 290 294 314	-335531489202
SPT(16)	2355577595853900683	0 24 30 80 104 128 140 150 254 264 276 300 324 374 380 404	-121175370936
SPT(16)	2355577679940403901	0 2 26 30 36 66 108 110 138 140 182 212 218 222 246 248	-37088867718
SPT(16)	2355577798965422287	0 6 42 64 70 76 112 132 154 174 210 216 222 244 280 286	81936150668
STPT(10)	2355578332038549647	0 2 30 32 42 44 54 56 84 86	615009278028
SPT(16)	2355578788577536303	0 18 28 34 36 40 78 138 196 256 294 298 300 306 316 334	1071548264684
STPT(10)	2355579226869168239	0 2 30 32 60 62 90 92 120 122	1509839896620
TPT(14)	2355580266842037047	0 2 24 26 114 116 192 194 360 362 390 392 402 404	2549812765428