Prime p₀= 2663316085624714367 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 28 2 106 2 28 2 22 2 (?)
a_n: 0 2 12 14 42 44 72 74 180 182 210 212 234 236
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: 236
Found by: Dirk Broer
db: batch=82, k=14, 10 28 28 106 28 22

TPT(14)	2663315227452698087	0 2 120 122 174 176 222 224 330 332 432 434 474 476	-858172016280
STPT(10)	2663315317105232729	0 2 78 80 120 122 162 164 240 242	-768519481638
SPT(16)	2663315420644473731	0 12 48 68 78 120 140 192 206 258 278 320 330 350 386 398	-664980240636
STPT(10)	2663315423002160621	0 2 30 32 60 62 90 92 120 122	-662622553746
SPT(16)	2663315492135139713	0 14 18 36 48 54 110 114 200 204 260 266 278 296 300 314	-593489574654
STPT(10)	2663315964352489637	0 2 42 44 72 74 102 104 144 146	-121272224730
TPT(14)	2663316361658715701	0 2 66 68 96 98 180 182 198 200 288 290 498 500	276034001334
STPT(10)	2663316464472364037	0 2 30 32 42 44 54 56 84 86	378847649670
SPT(16)	2663316620917780931	0 36 38 56 98 102 120 132 176 188 206 210 252 270 272 308	535293066564
SPT(16)	2663316751905986779	0 4 30 42 64 70 72 94 120 142 144 150 172 184 210 214	666281272412
SPT(16)	2663316856586932477	0 24 52 106 114 126 162 172 204 214 250 262 270 324 352 376	770962218110