Prime p₀= 2743431078818949917 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 58 2 28 2 34 2 112 2 124 2 (?)
a_n: 0 2 54 56 114 116 144 146 180 182 294 296 420 422
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: 422
Found by: JayPi
db: batch=82, k=14, 52 58 28 34 112 124

SPT(16)	2743429910010967013	0 36 50 56 104 114 126 156 158 188 200 210 258 264 278 314	-1168807982904
SPT(16)	2743430046540282611	0 56 68 78 116 120 128 140 156 168 176 180 218 228 240 296	-1032278667306
SPT(16)	2743430172526569437	0 36 90 140 146 216 230 240 272 282 296 366 372 422 476 512	-906292380480
SPT(16)	2743430616082139231	0 6 42 68 120 132 182 222 296 336 386 398 450 476 512 518	-462736810686
STPT(10)	2743430726590872287	0 2 12 14 72 74 132 134 144 146	-352228077630
STPT(10)	2743430743970573981	0 2 36 38 78 80 120 122 156 158	-334848375936
STPT(10)	2743431109459370567	0 2 30 32 42 44 54 56 84 86	30640420650
STPT(10)	2743431147689344547	0 2 30 32 42 44 54 56 84 86	68870394630
TPT(14)	2743431183123135809	0 2 12 14 132 134 192 194 258 260 342 344 360 362	104304185892
SPT(16)	2743431574691520091	0 16 36 46 66 78 88 106 150 168 178 190 210 220 240 256	495872570174
STPT(10)	2743431716115507029	0 2 18 20 30 32 42 44 60 62	637296557112