Prime p₀= 2825488822557682679 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 76 2 52 2 28 2 4 2 88 2 (?)
a_n: 0 2 60 62 138 140 192 194 222 224 228 230 318 320
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: 320
Found by: [SG-FC] hl
db: batch=82, k=14, 58 76 52 28 4 88

SPT(16)	2825487067302395467	0 12 46 112 124 136 144 160 186 202 210 222 234 300 334 346	-1755255287212
SPT(16)	2825487526031698639	0 4 100 132 144 174 192 202 210 220 238 268 280 312 408 412	-1296525984040
SPT(16)	2825487780536760203	0 44 56 90 96 228 230 260 264 294 296 428 434 468 480 524	-1042020922476
SPT(16)	2825488097348902333	0 18 66 88 96 130 168 238 318 388 426 460 468 490 538 556	-725208780346
STPT(10)	2825488278618396707	0 2 30 32 42 44 54 56 84 86	-543939285972
SPT(16)	2825488671022063187	0 72 86 114 152 176 192 204 212 224 240 264 302 330 344 416	-151535619492
SPT(16)	2825488893970082117	0 26 60 84 114 134 200 206 240 246 312 332 362 386 420 446	71412399438
SPT(18)	2825489064725181931	0 18 42 60 72 112 172 250 270 280 300 378 438 478 490 508 532 550	242167499252
SPT(16)	2825489567161766969	0 38 72 84 90 104 122 132 140 150 168 182 188 200 234 272	744604084290
SPT(16)	2825489619916405441	0 18 42 48 70 72 108 156 172 220 256 258 280 286 310 328	797358722762
SPT(13)	2825489837990335823	0 6 30 48 60 138 198 258 336 348 366 390 396	1015432653144