Prime p₀= 2725733615749518431 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 46 2 40 2 4 2 70 2 10 2 (?)
a_n: 0 2 30 32 78 80 120 122 126 128 198 200 210 212
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: 212
Found by: JayPi
db: batch=82, k=14, 28 46 40 4 70 10

SPT(16)	2725732043037496079	0 38 44 104 108 114 152 210 212 270 308 314 318 378 384 422	-1572712022352
STPT(10)	2725732057232853959	0 2 12 14 90 92 168 170 180 182	-1558516664472
SPT(16)	2725732662775587107	0 24 26 96 122 132 140 180 236 276 284 294 320 390 392 416	-952973931324
SPT(16)	2725732701807450281	0 38 48 56 60 72 108 116 282 290 326 338 342 350 360 398	-913942068150
SPT(16)	2725733144960457169	0 42 52 84 90 94 108 154 258 304 318 322 328 360 370 412	-470789061262
STPT(10)	2725733498303329607	0 2 30 32 60 62 90 92 120 122	-117446188824
SPT(16)	2725733662177036151	0 18 20 42 60 68 72 78 110 116 120 128 146 168 170 188	46427517720
STPT(10)	2725733683804441361	0 2 6 8 18 20 30 32 36 38	68054922930
SPT(16)	2725733765483379647	0 14 80 90 146 156 170 176 210 216 230 240 296 306 372 386	149733861216
STPT(10)	2725733867800942067	0 2 24 26 42 44 60 62 84 86	252051423636
TPT(14)	2725734138566485019	0 2 42 44 150 152 162 164 282 284 288 290 318 320	522816966588