Prime p₀= 876126934693750559 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 34 2 10 2 16 2 82 2 64 2 (?)
a_n: 0 2 72 74 108 110 120 122 138 140 222 224 288 290
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: 290
Found by: RFGuy_KCCO
db: batch=73, k=14, 70 34 10 16 82 64

SPT(16)	876126008883284717	0 32 90 152 164 180 252 264 272 284 356 372 384 446 504 536	-925810465842
SPT(16)	876126165523486099	0 60 78 82 118 132 138 172 210 244 250 264 300 304 322 382	-769170264460
STPT(10)	876126407361751331	0 2 30 32 78 80 126 128 156 158	-527331999228
STPT(10)	876126459573262949	0 2 18 20 30 32 42 44 60 62	-475120487610
STPT(10)	876126682409896199	0 2 42 44 60 62 78 80 120 122	-252283854360
STPT(10)	876126732424572449	0 2 18 20 30 32 42 44 60 62	-202269178110
STPT(10)	876127021504286777	0 2 30 32 42 44 54 56 84 86	86810536218
SPT(16)	876127086584065399	0 12 40 48 58 70 132 142 198 208 270 282 292 300 328 340	151890314840
SPT(16)	876127120284168293	0 30 38 50 80 186 228 246 248 266 308 414 444 456 464 494	185590417734
TPT(14)	876127157623936949	0 2 12 14 78 80 210 212 222 224 258 260 300 302	222930186390
STPT(10)	876127523128294397	0 2 30 32 102 104 174 176 204 206	588434543838