Prime p₀= 2793950430930278729 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 118 2 52 2 46 2 148 2 10 2 (?)
a_n: 0 2 48 50 168 170 222 224 270 272 420 422 432 434
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: 434
Found by: JayPi
db: batch=82, k=14, 46 118 52 46 148 10

SPT(16)	2793947361991278629	0 2 14 30 54 90 92 132 302 342 344 380 404 420 432 434	-3068939000100
STPT(10)	2793948024808300037	0 2 30 32 42 44 54 56 84 86	-2406121978692
STPT(10)	2793948697440164879	0 2 18 20 30 32 42 44 60 62	-1733490113850
STPT(10)	2793949457677104059	0 2 12 14 90 92 168 170 180 182	-973253174670
SPT(16)	2793949738927888459	0 18 22 34 42 64 72 90 172 190 198 220 228 240 244 262	-692002390270
SPT(16)	2793950120991523519	0 22 28 48 60 72 82 90 112 120 130 142 154 174 180 202	-309938755210
SPT(16)	2793950594807074697	0 24 30 54 56 144 150 170 180 200 206 294 296 320 326 350	163876795968
TPT(14)	2793950922273705809	0 2 18 20 30 32 42 44 102 104 108 110 138 140	491343427080
STPT(10)	2793951073819178027	0 2 60 62 72 74 84 86 144 146	642888899298
SPT(16)	2793951131401254691	0 10 72 76 100 136 142 150 262 270 276 312 336 340 402 412	700470975962
SPT(16)	2793951546941260103	0 14 24 146 164 216 230 234 296 300 314 366 384 506 516 530	1116010981374