Prime p₀= 1268545672388575367 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 10 2 16 2 10 2 76 2 196 2 (?)
a_n: 0 2 12 14 24 26 42 44 54 56 132 134 330 332
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: 332
Found by: Megacruncher
db: batch=77, k=14, 10 10 16 10 76 196

SPT(16)	1268543974610008709	0 20 44 48 60 90 114 162 320 368 392 422 434 438 462 482	-1697778566658
SPT(16)	1268544151737145991	0 56 68 78 92 116 126 138 140 152 162 186 200 210 222 278	-1520651429376
STPT(12)	1268544854416429097	0 2 30 32 60 62 72 74 102 104 132 134	-817972146270
TPT(14)	1268544854416429097	0 2 30 32 60 62 72 74 102 104 132 134 180 182	-817972146270
SPT(16)	1268544886351790039	0 12 38 90 98 128 158 180 200 222 252 282 290 342 368 380	-786036785328
SPT(16)	1268545173124567607	0 2 24 36 44 54 84 86 90 92 122 132 140 152 174 176	-499264007760
STPT(12)	1268545706937138239	0 2 30 32 42 44 108 110 120 122 150 152	34548562872
STPT(10)	1268545884929864909	0 2 18 20 30 32 42 44 60 62	212541289542
SPT(16)	1268546036623052251	0 10 30 52 82 96 106 148 270 312 322 336 366 388 408 418	364234476884
TPT(14)	1268546200981570307	0 2 12 14 42 44 54 56 210 212 234 236 324 326	528592994940
STPT(10)	1268546280485770367	0 2 54 56 72 74 90 92 144 146	608097195000