Prime p₀= 4092749313959631317 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 10 2 28 2 46 2 10 2 76 2 (?)
a_n: 0 2 12 14 24 26 54 56 102 104 114 116 192 194
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: 194
Found by: [AF>WildWildWest]Sebastien
db: batch=84, k=14, 10 10 28 46 10 76

SPT(16)	4092748302013237487	0 14 54 60 66 84 134 150 176 192 242 260 266 272 312 326	-1011946393830
SPT(16)	4092748590398184677	0 6 42 72 80 86 90 102 104 116 120 126 134 164 200 206	-723561446640
STPT(10)	4092748837509283277	0 2 42 44 72 74 102 104 144 146	-476450348040
SPT(16)	4092749031153205109	0 24 44 84 108 114 134 144 308 318 338 344 368 408 428 452	-282806426208
SPT(16)	4092749068762905503	0 24 68 78 108 138 164 168 236 240 266 296 326 336 380 404	-245196725814
SPT(16)	4092749191089948031	0 88 102 108 166 196 222 238 240 256 282 312 370 376 390 478	-122869683286
STPT(10)	4092749601097795607	0 2 30 32 72 74 114 116 144 146	287138164290
SPT(16)	4092749707932653983	0 10 36 48 64 150 186 208 216 238 274 360 376 388 414 424	393973022666
SPT(16)	4092749789081393213	0 30 96 98 134 140 180 204 230 254 294 300 336 338 404 434	475121761896
TPT(14)	4092749865807811301	0 2 18 20 36 38 60 62 78 80 90 92 120 122	551848179984
SPT(16)	4092750197081681437	0 16 60 66 100 112 120 180 196 256 264 276 310 316 360 376	883122050120