Prime p₀= 2127584837593924547 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 16 2 16 2 40 2 76 2 40 2 (?)
a_n: 0 2 24 26 42 44 60 62 102 104 180 182 222 224
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: 224
Found by: suriv
db: batch=80, k=14, 22 16 16 40 76 40

SPT(16)	2127583722592729013	0 30 144 156 170 176 218 230 294 306 348 354 368 380 494 524	-1115001195534
SPT(16)	2127583729540489547	0 20 62 74 152 182 186 200 246 260 264 294 372 384 426 446	-1108053435000
SPT(16)	2127584014271343409	0 40 82 138 150 172 264 288 304 328 420 442 454 510 552 592	-823322581138
STPT(10)	2127584075175753749	0 2 42 44 60 62 78 80 120 122	-762418170798
SPT(16)	2127584315810607377	0 42 66 72 104 150 162 182 204 224 236 282 314 320 344 386	-521783317170
SPT(16)	2127584666170079927	0 26 66 84 90 96 104 116 264 276 284 290 296 314 354 380	-171423844620
STPT(10)	2127585056721819437	0 2 12 14 42 44 72 74 84 86	219127894890
SPT(16)	2127585286406586493	0 4 6 34 48 76 88 120 214 246 258 286 300 328 330 334	448812661946
SPT(16)	2127585532643917811	0 6 12 36 38 50 56 90 98 132 138 150 152 176 182 188	695049993264
SPT(16)	2127585683753252381	0 18 36 152 200 240 246 266 282 302 308 348 396 512 530 548	846159327834
SPT(16)	2127585836172974707	0 46 70 76 90 162 192 210 256 274 304 376 390 396 420 466	998579050160