Prime p₀= 2712624175551833927 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 178 2 52 2 118 2 76 2 208 2 16 2 (?)
a_n: 0 2 180 182 234 236 354 356 432 434 642 644 660 662
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: 662
Found by: JayPi
db: batch=82, k=14, 178 52 118 76 208 16

STPT(10)	2712623547810599609	0 2 42 44 90 92 138 140 180 182	-627741234318
STPT(10)	2712623833110495077	0 2 54 56 72 74 90 92 144 146	-342441338850
STPT(10)	2712623932167656231	0 2 6 8 48 50 90 92 96 98	-243384177696
SPT(16)	2712624012147289283	0 8 14 24 26 30 68 80 84 96 134 138 140 150 156 164	-163404544644
TPT(14)	2712624101400597257	0 2 12 14 234 236 240 242 264 266 360 362 420 422	-74151236670
SPT(16)	2712624118072788233	0 26 56 98 116 158 168 194 270 296 306 348 366 408 438 464	-57479045694
STPT(10)	2712624204454976561	0 2 36 38 78 80 120 122 156 158	28903142634
TPT(14)	2712624316596325631	0 2 66 68 78 80 126 128 210 212 216 218 318 320	141044491704
SPT(16)	2712624970229449489	0 4 30 48 162 172 180 198 214 232 240 250 364 382 408 412	794677615562
SPT(16)	2712624997394471849	0 30 32 48 54 72 74 138 314 378 380 398 404 420 422 452	821842637922
STPT(10)	2712625036268020931	0 2 36 38 78 80 120 122 156 158	860716187004