Prime p₀= 2712788768118195461 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 22 2 58 2 28 2 46 2 88 2 (?)
a_n: 0 2 6 8 30 32 90 92 120 122 168 170 258 260
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: 260
Found by: JayPi
db: batch=82, k=14, 4 22 58 28 46 88

SPT(16)	2712786154597389107	0 2 6 14 30 66 90 150 206 266 290 326 342 350 354 356	-2613520806354
SPT(16)	2712786576220663819	0 48 84 154 160 174 178 210 238 270 274 288 294 364 400 448	-2191897531642
STPT(10)	2712786926658824297	0 2 42 44 72 74 102 104 144 146	-1841459371164
STPT(10)	2712787017064250879	0 2 18 20 30 32 42 44 60 62	-1751053944582
SPT(16)	2712787314063186253	0 18 66 108 144 148 150 178 186 214 216 220 256 298 346 364	-1454055009208
SPT(16)	2712788020343193493	0 18 30 60 96 120 130 166 270 306 316 340 376 406 418 436	-747775001968
SPT(16)	2712789022163311279	0 42 48 52 108 130 132 174 178 220 222 244 300 304 310 352	254045115818
SPT(16)	2712789068638626097	0 4 16 64 112 142 156 186 190 220 234 264 312 360 372 376	300520430636
SPT(16)	2712789334501495169	0 42 74 78 128 134 162 188 294 320 348 354 404 408 440 482	566383299708
STPT(10)	2712789352264386851	0 2 30 32 78 80 126 128 156 158	584146191390
STPT(10)	2712790258184688137	0 2 30 32 42 44 54 56 84 86	1490066492676