Prime p₀= 2407511979255235439 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 28 2 148 2 4 2 40 2 (?)
a_n: 0 2 30 32 42 44 72 74 222 224 228 230 270 272
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: 272
Found by: JayPi
db: batch=82, k=14, 28 10 28 148 4 40

STPT(12)	2407509846035421857	0 2 30 32 72 74 90 92 132 134 162 164	-2133219813582
SPT(16)	2407510233756260639	0 24 44 80 114 128 174 182 240 248 294 308 342 378 398 422	-1745498974800
STPT(10)	2407510621225636019	0 2 30 32 60 62 90 92 120 122	-1358029599420
STPT(12)	2407511295196618097	0 2 12 14 60 62 84 86 132 134 144 146	-684058617342
SPT(16)	2407511602074423001	0 66 76 78 82 100 136 160 198 222 258 276 280 282 292 358	-377180812438
STPT(10)	2407511915330205119	0 2 42 44 60 62 78 80 120 122	-63925030320
SPT(16)	2407512011065558763	0 14 38 48 104 114 146 150 164 168 200 210 266 276 300 314	31810323324
SPT(16)	2407512126687403627	0 6 16 30 40 42 72 90 232 250 280 282 292 306 316 322	147432168188
SPT(16)	2407512199835886469	0 18 28 58 148 160 162 210 232 280 282 294 384 414 424 442	220580651030
STPT(10)	2407512204345090719	0 2 30 32 60 62 90 92 120 122	225089855280
SPT(16)	2407512876603064121	0 8 12 30 72 86 92 126 392 426 432 446 488 506 510 518	897347828682