Prime p₀= 1040177637971009477 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 142 2 16 2 10 2 64 2 58 2 40 2 (?)
a_n: 0 2 144 146 162 164 174 176 240 242 300 302 342 344
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: 344
Found by: [SG-2W]Kurzer
db: batch=76, k=14, 142 16 10 64 58 40

SPT(16)	1040176259409988747	0 16 70 82 106 114 120 142 144 166 172 180 204 216 270 286	-1378561020730
STPT(10)	1040176413435139991	0 2 90 92 108 110 126 128 216 218	-1224535869486
SPT(16)	1040176418073402133	0 16 58 84 88 144 186 208 216 238 280 336 340 366 408 424	-1219897607344
SPT(16)	1040176513505979659	0 24 42 54 102 120 164 200 252 288 332 350 398 410 428 452	-1124465029818
SPT(16)	1040176722841254917	0 2 72 92 122 150 242 252 284 294 386 414 444 464 534 536	-915129754560
SPT(16)	1040177462483142751	0 10 40 70 108 148 160 166 372 378 390 430 468 498 528 538	-175487866726
SPT(16)	1040177751580763969	0 18 20 84 140 144 150 158 174 182 188 192 248 312 314 332	113609754492
STPT(10)	1040177849573207039	0 2 30 32 60 62 90 92 120 122	211602197562
TPT(14)	1040178220993611839	0 2 12 14 18 20 102 104 168 170 192 194 198 200	583022602362
STPT(10)	1040178228163555277	0 2 30 32 42 44 54 56 84 86	590192545800
STPT(10)	1040178348088141877	0 2 24 26 42 44 60 62 84 86	710117132400