Prime p₀= 740696472041113499 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 46 2 40 2 34 2 58 2 40 2 (?)
a_n: 0 2 42 44 90 92 132 134 168 170 228 230 270 272
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: Theadalus
db: batch=73, k=14, 40 46 40 34 58 40

SPT(16)	740695822358172773	0 14 110 126 170 186 200 224 240 264 278 294 338 354 450 464	-649682940726
STPT(10)	740695849381463117	0 2 30 32 102 104 174 176 204 206	-622659650382
TPT(14)	740695988359207409	0 2 12 14 18 20 90 92 180 182 258 260 282 284	-483681906090
SPT(16)	740696018058958487	0 30 44 56 86 126 170 210 236 276 320 360 390 402 416 446	-453982155012
SPT(16)	740696082070503959	0 98 102 110 162 204 248 264 308 324 368 410 462 470 474 572	-389970609540
SPT(16)	740696447431445711	0 26 42 50 72 96 108 110 138 140 152 176 198 206 222 248	-24609667788
SPT(16)	740697144092618287	0 64 72 106 126 172 190 214 222 246 264 310 330 364 372 436	672051504788
SPT(16)	740697586382345929	0 12 18 42 52 60 78 88 102 112 130 138 148 172 178 190	1114341232430
TPT(14)	740697589268938661	0 2 90 92 96 98 126 128 246 248 348 350 390 392	1117227825162
SPT(16)	740697701596113829	0 22 42 64 78 102 112 124 228 240 250 274 288 310 330 352	1229555000330
SPT(16)	740697736606676269	0 12 42 70 130 150 192 222 262 292 334 354 414 442 472 484	1264565562770