Prime p₀= 2707901538370622831 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 154 2 22 2 46 2 10 2 76 2 40 2 (?)
a_n: 0 2 156 158 180 182 228 230 240 242 318 320 360 362
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: 362
Found by: JayPi
db: batch=82, k=14, 154 22 46 10 76 40

SPT(16)	2707899507911226019	0 52 100 138 174 222 234 270 292 328 340 388 424 462 510 562	-2030459396812
SPT(16)	2707899786034834621	0 10 40 42 88 90 112 132 136 156 178 180 226 228 258 268	-1752335788210
SPT(16)	2707900025106774143	0 6 50 66 84 86 150 174 206 230 294 296 314 330 374 380	-1513263848688
SPT(16)	2707900135912207913	0 24 26 48 50 66 96 150 164 218 248 264 266 288 290 314	-1402458414918
STPT(12)	2707900537656532061	0 2 18 20 60 62 96 98 138 140 156 158	-1000714090770
SPT(16)	2707900967054661139	0 10 54 60 102 112 114 144 178 208 210 220 262 268 312 322	-571315961692
SPT(16)	2707901958380988529	0 4 10 58 70 88 114 294 328 508 534 552 564 612 618 622	420010365698
STPT(10)	2707902148865485211	0 2 6 8 48 50 90 92 96 98	610494862380
STPT(10)	2707902278292535109	0 2 42 44 60 62 78 80 120 122	739921912278
STPT(10)	2707902325034188949	0 2 42 44 60 62 78 80 120 122	786663566118
STPT(10)	2707902676540611887	0 2 30 32 42 44 54 56 84 86	1138169989056