Prime p₀= 2427484328517069917 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 40 2 40 2 64 2 40 2 (?)
a_n: 0 2 30 32 60 62 102 104 144 146 210 212 252 254
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: 254
Found by: JayPi
db: batch=82, k=14, 28 28 40 40 64 40

SPT(16)	2427483168662500763	0 138 174 198 234 236 240 266 348 374 378 380 416 440 476 614	-1159854569154
SPT(16)	2427483282868200247	0 40 82 166 186 196 202 210 262 270 276 286 306 390 432 472	-1045648869670
SPT(16)	2427483479239215751	0 18 30 58 78 82 102 118 252 268 288 292 312 340 352 370	-849277854166
SPT(16)	2427483565026370303	0 6 18 78 138 160 208 228 358 378 426 448 508 568 580 586	-763490699614
SPT(16)	2427483817920233297	0 26 56 80 92 110 122 140 162 180 192 210 222 246 276 302	-510596836620
SPT(16)	2427484005795427517	0 2 42 96 110 120 122 156 176 210 212 222 236 290 330 332	-322721642400
SPT(16)	2427484450899163657	0 16 30 36 70 72 96 102 124 130 154 156 190 196 210 226	122382093740
SPT(16)	2427484544855678863	0 10 48 60 76 120 126 150 154 178 184 228 244 256 294 304	216338608946
SPT(16)	2427484580386660351	0 12 46 72 82 90 100 102 196 198 208 216 226 252 286 298	251869590434
SPT(16)	2427484780401118021	0 12 30 78 90 108 156 168 190 202 250 268 280 328 346 358	451884048104
SPT(16)	2427485827389456191	0 18 26 30 68 96 120 158 180 218 242 270 308 312 320 338	1498872386274