Prime p₀= 2599702145984663579 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 178 2 4 2 10 2 16 2 88 2 (?)
a_n: 0 2 12 14 192 194 198 200 210 212 228 230 318 320
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: JayPi
db: batch=82, k=14, 10 178 4 10 16 88

STPT(10)	2599701221914630649	0 2 12 14 30 32 48 50 60 62	-924070032930
SPT(16)	2599701310107982313	0 48 56 74 140 156 206 258 266 318 368 384 450 468 476 524	-835876681266
STPT(10)	2599701567639371021	0 2 30 32 78 80 126 128 156 158	-578345292558
STPT(10)	2599701654331494467	0 2 30 32 42 44 54 56 84 86	-491653169112
STPT(10)	2599701940992495971	0 2 30 32 78 80 126 128 156 158	-204992167608
SPT(16)	2599701945429902897	0 24 42 56 62 84 90 96 140 146 152 174 180 194 212 236	-200554760682
SPT(16)	2599702313671956293	0 36 38 56 86 98 108 146 150 188 198 210 240 258 260 296	167687292714
SPT(16)	2599702399212260117	0 24 84 90 102 152 200 234 272 306 354 404 416 422 482 506	253227596538
STPT(10)	2599702541233472327	0 2 72 74 102 104 132 134 204 206	395248808748
TPT(14)	2599702547232323681	0 2 36 38 78 80 126 128 288 290 330 332 498 500	401247660102
SPT(16)	2599702763148356447	0 14 50 66 72 74 86 110 126 150 162 164 170 186 222 236	617163692868