Prime p₀= 1289093774620060439 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 76 2 76 2 70 2 58 2 40 2 (?)
a_n: 0 2 42 44 120 122 198 200 270 272 330 332 372 374
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: 374
Found by: Cruncher Pete
db: batch=77, k=14, 40 76 76 70 58 40

STPT(10)	1289092186860718949	0 2 18 20 60 62 102 104 120 122	-1587759341490
STPT(10)	1289092221660584567	0 2 30 32 72 74 114 116 144 146	-1552959475872
SPT(16)	1289092383552361139	0 38 68 78 92 98 110 120 170 180 192 198 212 222 252 290	-1391067699300
SPT(16)	1289093105458762739	0 18 50 62 72 104 132 134 168 170 198 230 240 252 284 302	-669161297700
STPT(10)	1289093179424686817	0 2 24 26 42 44 60 62 84 86	-595195373622
STPT(10)	1289093637811127381	0 2 36 38 78 80 120 122 156 158	-136808933058
SPT(16)	1289093997351799357	0 60 66 90 102 112 160 186 196 222 270 280 292 316 322 382	222731738918
STPT(10)	1289094261890740577	0 2 30 32 42 44 54 56 84 86	487270680138
SPT(16)	1289094332349402541	0 28 30 42 46 58 76 172 186 282 300 312 316 328 330 358	557729342102
SPT(16)	1289094492068166293	0 6 20 24 26 54 90 98 156 164 200 228 230 234 248 254	717448105854
SPT(16)	1289094535168122871	0 28 48 52 96 132 136 168 250 282 286 322 366 370 390 418	760548062432