Prime p₀= 2016397857479523407 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 58 2 76 2 16 2 22 2 88 2 (?)
a_n: 0 2 24 26 84 86 162 164 180 182 204 206 294 296
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: 296
Found by: [AF>Amis des Lapins] Phil1966
db: batch=80, k=14, 22 58 76 16 22 88

SPT(16)	2016397447904983799	0 24 50 62 90 108 110 134 138 162 164 182 210 222 248 272	-409574539608
SPT(16)	2016397519322263579	0 22 28 34 64 130 132 144 178 190 192 258 288 294 300 322	-338157259828
SPT(16)	2016397624758114833	0 26 50 114 176 224 308 320 354 366 450 498 560 624 648 674	-232721408574
STPT(10)	2016397666056754157	0 2 60 62 72 74 84 86 144 146	-191422769250
STPT(10)	2016397770559280747	0 2 60 62 72 74 84 86 144 146	-86920242660
SPT(16)	2016397820882895253	0 6 30 90 196 198 214 226 228 240 256 258 364 424 448 454	-36596628154
SPT(16)	2016398037884445013	0 64 78 120 130 148 184 204 214 234 270 288 298 340 354 418	180404921606
TPT(14)	2016398074195260617	0 2 12 14 114 116 162 164 240 242 264 266 294 296	216715737210
SPT(16)	2016398439987713143	0 10 18 76 84 108 118 124 180 186 196 220 228 286 294 304	582508189736
SPT(16)	2016398490060924701	0 6 18 42 158 180 182 186 212 216 218 240 356 380 392 398	632581401294
SPT(16)	2016398554055883089	0 2 42 60 78 92 110 134 228 252 270 284 302 320 360 362	696576359682