Prime p₀= 2729593974417300587 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 16 2 10 2 4 2 52 2 34 2 (?)
a_n: 0 2 84 86 102 104 114 116 120 122 174 176 210 212
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: 212
Found by: JayPi
db: batch=82, k=14, 82 16 10 4 52 34

STPT(10)	2729591639610675779	0 2 18 20 30 32 42 44 60 62	-2334806624808
SPT(16)	2729592761098807547	0 12 20 26 30 42 54 56 180 182 194 206 210 216 224 236	-1213318493040
SPT(16)	2729592881043038111	0 2 38 72 80 90 162 182 246 266 338 348 356 390 426 428	-1093374262476
SPT(16)	2729592910159627033	0 4 36 78 100 156 168 214 240 286 298 354 376 418 450 454	-1064257673554
SPT(16)	2729593245848964749	0 18 30 80 102 122 128 132 140 144 150 170 192 242 254 272	-728568335838
SPT(16)	2729593449613787461	0 28 48 70 82 90 138 148 180 190 238 246 258 280 300 328	-524803513126
STPT(10)	2729594259990836879	0 2 12 14 90 92 168 170 180 182	285573536292
STPT(10)	2729594310045346361	0 2 36 38 78 80 120 122 156 158	335628045774
SPT(16)	2729594328196260269	0 2 8 78 84 108 110 122 210 222 224 248 254 324 330 332	353778959682
SPT(18)	2729594407510710893	0 18 26 66 74 156 158 170 174 290 294 306 308 390 398 438 446 464	433093410306
TPT(14)	2729595516588459719	0 2 48 50 198 200 222 224 300 302 378 380 390 392	1542171159132