Prime p₀= 1538967203774745737 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 10 2 76 2 10 2 28 2 4 2 (?)
a_n: 0 2 12 14 24 26 102 104 114 116 144 146 150 152
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: 152
Found by: Theadalus
db: batch=78, k=14, 10 10 76 10 28 4

TPT(14)	1538965462663330769	0 2 60 62 72 74 90 92 132 134 138 140 168 170	-1741111414968
STPT(10)	1538966078738134139	0 2 18 20 30 32 42 44 60 62	-1125036611598
STPT(10)	1538966153818728329	0 2 30 32 60 62 90 92 120 122	-1049956017408
SPT(16)	1538966271593460497	0 6 20 36 60 90 132 144 242 254 296 326 350 366 380 386	-932181285240
SPT(16)	1538966619709278091	0 16 30 40 48 66 82 96 112 126 142 160 168 178 192 208	-584065467646
STPT(10)	1538967152492957189	0 2 30 32 60 62 90 92 120 122	-51281788548
STPT(10)	1538967408279249857	0 2 30 32 42 44 54 56 84 86	204504504120
STPT(10)	1538967416519748671	0 2 30 32 78 80 126 128 156 158	212745002934
SPT(16)	1538967927943124297	0 2 24 126 164 192 212 216 230 234 254 282 320 422 444 446	724168378560
SPT(13)	1538968133534156783	0 54 84 108 174 210 234 258 294 360 384 414 468	929759411046
SPT(16)	1538968880483608297	0 12 136 180 192 232 246 252 274 280 294 334 346 390 514 526	1676708862560