Prime p₀= 2713705817759594519 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 106 2 178 2 40 2 100 2 94 2 28 2 (?)
a_n: 0 2 108 110 288 290 330 332 432 434 528 530 558 560
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: 560
Found by: JayPi
db: batch=82, k=14, 106 178 40 100 94 28

SPT(16)	2713704127870798429	0 24 28 30 70 112 132 138 154 160 180 222 262 264 268 292	-1689888796090
STPT(10)	2713704545629340297	0 2 60 62 72 74 84 86 144 146	-1272130254222
SPT(16)	2713704694926880313	0 36 44 96 126 194 234 240 260 266 306 374 404 456 464 500	-1122832714206
STPT(10)	2713704764457888959	0 2 18 20 30 32 42 44 60 62	-1053301705560
SPT(16)	2713704804881890297	0 4 22 30 34 36 84 100 246 262 310 312 316 324 342 346	-1012877704222
STPT(10)	2713705239590221871	0 2 36 38 78 80 120 122 156 158	-578169372648
SPT(16)	2713706605166371657	0 6 40 90 124 162 216 226 300 310 364 402 436 486 520 526	787406777138
SPT(16)	2713706646671383997	0 6 12 44 50 54 56 72 194 210 212 216 222 254 260 266	828911789478
STPT(10)	2713706882693580377	0 2 90 92 102 104 114 116 204 206	1064933985858
SPT(16)	2713707050051387101	0 12 28 70 82 90 112 138 160 186 208 216 228 270 286 298	1232291792582
STPT(10)	2713707398143341449	0 2 48 50 90 92 132 134 180 182	1580383746930