Prime p₀= 2522624857101111797 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 88 2 40 2 34 2 28 2 52 2 (?)
a_n: 0 2 12 14 102 104 144 146 180 182 210 212 264 266
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: 266
Found by: [SG-FC] hl
db: batch=82, k=14, 10 88 40 34 28 52

SPT(16)	2522623380209341553	0 14 30 36 48 74 86 156 158 228 240 266 278 284 300 314	-1476891770244
SPT(16)	2522623554336347083	0 10 34 40 48 124 138 150 154 166 180 256 264 270 294 304	-1302764764714
STPT(10)	2522624575176738551	0 2 30 32 78 80 126 128 156 158	-281924373246
SPT(16)	2522624805592642523	0 78 114 120 170 188 194 204 224 234 240 258 308 314 350 428	-51508469274
SPT(16)	2522624846765655209	0 30 54 68 120 194 210 294 308 392 408 482 534 548 572 602	-10335456588
SPT(16)	2522624852779201517	0 12 20 62 96 114 156 176 180 200 242 260 294 336 344 356	-4321910280
SPT(16)	2522625106141448653	0 24 34 36 90 100 114 126 184 196 210 220 274 276 286 310	249040336856
SPT(16)	2522625430220519417	0 14 30 36 44 62 104 120 146 162 204 222 230 236 252 266	573119407620
SPT(16)	2522625587426441669	0 30 32 60 68 72 78 104 168 194 200 204 212 240 242 272	730325329872
SPT(16)	2522625647348892037	0 12 82 94 102 130 144 150 166 172 186 214 222 234 304 316	790247780240
STPT(10)	2522626548795273467	0 2 30 32 42 44 54 56 84 86	1691694161670