Prime p₀= 2721725356399870361 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 88 2 40 2 16 2 70 2 10 2 (?)
a_n: 0 2 36 38 126 128 168 170 186 188 258 260 270 272
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: 272
Found by: [AF>Le_Pommier] Jerome_C2005
db: batch=82, k=14, 34 88 40 16 70 10

SPT(16)	2721723615907050203	0 26 78 80 114 128 194 198 206 210 276 290 324 326 378 404	-1740492820158
SPT(16)	2721723734872637423	0 14 26 38 68 194 206 258 266 318 330 456 486 498 510 524	-1621527232938
SPT(16)	2721724489543074031	0 70 78 136 142 148 156 178 210 232 240 246 252 310 318 388	-866856796330
SPT(16)	2721724819855597613	0 30 54 56 68 74 80 110 114 144 150 156 168 170 194 224	-536544272748
SPT(16)	2721724908076442119	0 24 48 54 118 144 174 220 288 334 364 390 454 460 484 508	-448323428242
SPT(16)	2721725339473834411	0 42 58 76 102 196 240 252 286 298 342 436 462 480 496 538	-16926035950
STPT(10)	2721725544537425351	0 2 30 32 78 80 126 128 156 158	188137554990
SPT(13)	2721725620488063223	0 6 90 138 168 180 198 216 228 258 306 390 396	264088192862
SPT(16)	2721725661013430173	0 16 18 76 90 138 154 208 216 270 286 334 348 406 408 424	304613559812
STPT(10)	2721725665400175521	0 2 6 8 48 50 90 92 96 98	309000305160
SPT(16)	2721725676639322343	0 20 26 60 68 90 128 138 146 156 194 216 224 258 264 284	320239451982