Prime p₀= 2713715160810656477 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 40 2 10 2 76 2 100 2 16 2 (?)
a_n: 0 2 60 62 102 104 114 116 192 194 294 296 312 314
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: 314
Found by: JayPi
db: batch=82, k=14, 58 40 10 76 100 16

STPT(10)	2713712797921585307	0 2 12 14 42 44 72 74 84 86	-2362889071170
STPT(10)	2713712947416851459	0 2 48 50 60 62 72 74 120 122	-2213393805018
SPT(16)	2713713000419103757	0 42 46 54 70 96 100 106 120 126 130 156 172 180 184 226	-2160391552720
TPT(14)	2713713960073271759	0 2 102 104 162 164 168 170 240 242 270 272 312 314	-1200737384718
SPT(16)	2713714703523739423	0 18 30 78 84 114 120 124 144 148 154 184 190 238 250 268	-457286917054
STPT(10)	2713714850411711087	0 2 30 32 42 44 54 56 84 86	-310398945390
SPT(16)	2713715452383536383	0 16 28 34 46 84 90 198 226 334 340 378 390 396 408 424	291572879906
STPT(10)	2713715488487688857	0 2 12 14 42 44 72 74 84 86	327677032380
SPT(16)	2713715798615208889	0 54 88 94 124 150 168 208 234 274 292 318 348 354 388 442	637804552412
SPT(16)	2713715910126103609	0 12 18 52 82 88 102 112 150 160 174 180 210 244 250 262	749315447132
SPT(16)	2713716109295350111	0 30 40 52 102 106 120 142 150 172 186 190 240 252 262 292	948484693634