Prime p₀= 2956913533835632079 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 40 2 40 2 94 2 100 2 70 2 (?)
a_n: 0 2 18 20 60 62 102 104 198 200 300 302 372 374
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: 374
Found by: Orange Kid
db: batch=82, k=14, 16 40 40 94 100 70

SPT(16)	2956912735389148169	0 12 14 30 32 72 128 132 140 144 200 240 242 258 260 272	-798446483910
TPT(14)	2956912803665993057	0 2 42 44 132 134 144 146 174 176 210 212 270 272	-730169639022
STPT(10)	2956912929665242517	0 2 54 56 72 74 90 92 144 146	-604170389562
SPT(16)	2956913253882393101	0 18 36 50 92 116 140 150 158 168 192 216 258 272 290 308	-279953238978
SPT(16)	2956913309221243667	0 36 54 92 162 176 180 192 224 236 240 254 324 362 380 416	-224614388412
SPT(16)	2956913490718203971	0 26 48 96 182 198 216 236 282 302 320 336 422 470 492 518	-43117428108
STPT(10)	2956913582992834217	0 2 30 32 42 44 54 56 84 86	49157202138
SPT(16)	2956914306435580031	0 2 36 60 102 128 158 186 242 270 300 326 368 392 426 428	772599947952
STPT(10)	2956914425051222729	0 2 42 44 60 62 78 80 120 122	891215590650
STPT(10)	2956914467168245427	0 2 30 32 42 44 54 56 84 86	933332613348
SPT(16)	2956914569530227379	0 22 52 100 112 120 162 222 250 310 352 360 372 420 450 472	1035694595300