Prime p₀= 2398501219623394397 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 76 2 28 2 28 2 40 2 28 2 (?)
a_n: 0 2 42 44 120 122 150 152 180 182 222 224 252 254
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: 254
Found by: [SG-FC] hl
db: batch=82, k=14, 40 76 28 28 40 28

SPT(16)	2398500311778713731	0 30 40 46 102 106 130 172 180 222 246 250 306 312 322 352	-907844680666
STPT(12)	2398500457499464889	0 2 30 32 42 44 60 62 72 74 102 104	-762123929508
TPT(14)	2398500658950091181	0 2 36 38 120 122 288 290 300 302 330 332 378 380	-560673303216
STPT(10)	2398500757136720099	0 2 48 50 90 92 132 134 180 182	-462486674298
SPT(16)	2398500764466987181	0 22 30 60 72 96 108 162 256 310 322 346 358 388 396 418	-455156407216
SPT(16)	2398501108996570283	0 14 56 104 164 200 216 224 366 374 390 426 486 534 576 590	-110626824114
SPT(16)	2398501375952933803	0 16 30 40 84 90 126 136 198 208 244 250 294 304 318 334	156329539406
TPT(14)	2398501439144894579	0 2 12 14 60 62 150 152 192 194 198 200 210 212	219521500182
SPT(16)	2398501591867691789	0 20 48 78 128 140 168 188 234 254 282 294 344 374 402 422	372244297392
SPT(16)	2398501868595443431	0 42 46 88 108 148 178 196 252 270 300 340 360 402 406 448	648972049034
SPT(16)	2398502177730983123	0 18 38 60 108 140 150 198 200 248 258 290 338 360 380 398	958107588726