Prime p₀= 2523277872996105497 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 118 2 40 2 88 2 166 2 70 2 (?)
a_n: 0 2 30 32 150 152 192 194 282 284 450 452 522 524
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: 524
Found by: [AF>Le_Pommier] Jerome_C2005
db: batch=82, k=14, 28 118 40 88 166 70

SPT(16)	2523276594831436781	0 2 12 36 50 68 78 80 198 200 210 228 242 266 276 278	-1278164668716
STPT(10)	2523276619724806949	0 2 12 14 90 92 168 170 180 182	-1253271298548
SPT(16)	2523276973052517113	0 38 54 144 150 176 180 236 258 314 318 344 350 440 456 494	-899943588384
STPT(10)	2523277191031226879	0 2 18 20 30 32 42 44 60 62	-681964878618
SPT(16)	2523277377312796259	0 8 42 50 78 140 150 224 228 302 312 374 402 410 444 452	-495683309238
SPT(16)	2523277748715928847	0 14 32 56 74 90 122 144 152 174 206 222 240 264 282 296	-124280176650
STPT(10)	2523277924520566307	0 2 42 44 132 134 222 224 264 266	51524460810
STPT(10)	2523278018054601161	0 2 6 8 48 50 90 92 96 98	145058495664
SPT(16)	2523278172363635551	0 18 22 42 76 88 96 102 106 112 120 132 166 186 190 208	299367530054
SPT(16)	2523278768047504759	0 10 12 54 78 120 180 204 238 262 322 364 388 430 432 442	895051399262
SPT(16)	2523279391542376981	0 70 78 90 120 132 148 150 208 210 226 238 268 280 288 358	1518546271484