Prime p₀= 2497156148888221487 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 22 2 16 2 16 2 10 2 (?)
a_n: 0 2 30 32 60 62 84 86 102 104 120 122 132 134
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: 134
Found by: [SG-FC] hl
db: batch=82, k=14, 28 28 22 16 16 10

SPT(16)	2497154928221794427	0 20 72 80 90 116 126 132 140 146 156 182 192 200 252 272	-1220666427060
TPT(14)	2497155250136645981	0 2 78 80 150 152 156 158 180 182 318 320 348 350	-898751575506
STPT(10)	2497155377070238457	0 2 60 62 72 74 84 86 144 146	-771817983030
SPT(16)	2497155406419095717	0 12 32 36 80 116 180 192 380 392 456 492 536 540 560 572	-742469125770
SPT(16)	2497155541252551533	0 26 56 90 98 116 120 156 158 194 198 216 224 258 288 314	-607635669954
SPT(16)	2497156018128820801	0 42 46 88 112 180 190 202 216 228 238 306 330 372 376 418	-130759400686
SPT(16)	2497156301664622673	0 18 26 56 78 80 98 138 188 228 246 248 270 300 308 326	152776401186
STPT(10)	2497156429919642987	0 2 12 14 42 44 72 74 84 86	281031421500
SPT(16)	2497157032498321829	0 42 128 198 240 270 272 314 318 360 362 392 434 504 590 632	883610100342
STPT(10)	2497157459177942261	0 2 120 122 180 182 240 242 360 362	1310289720774
STPT(10)	2497157604422147657	0 2 12 14 42 44 72 74 84 86	1455533926170