Prime p₀= 2443129594743023411 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 64 2 142 2 34 2 10 2 58 2 (?)
a_n: 0 2 30 32 96 98 240 242 276 278 288 290 348 350
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: 350
Found by: JayPi
db: batch=82, k=14, 28 64 142 34 10 58

SPT(16)	2443128598812246937	0 34 114 130 160 174 190 216 280 306 322 336 366 382 462 496	-995930776474
SPT(16)	2443128644573476423	0 6 46 58 76 90 100 114 130 144 154 168 186 198 238 244	-950169546988
STPT(10)	2443128821721488111	0 2 30 32 78 80 126 128 156 158	-773021535300
SPT(16)	2443128826118924353	0 36 60 70 76 130 138 154 180 196 204 258 264 274 298 334	-768624099058
STPT(10)	2443129242077955419	0 2 18 20 30 32 42 44 60 62	-352665067992
SPT(16)	2443129379497550131	0 12 40 42 48 58 78 82 156 160 180 190 196 198 226 238	-215245473280
STPT(12)	2443129734517044149	0 2 12 14 42 44 90 92 120 122 132 134	139774020738
STPT(10)	2443129885324913357	0 2 42 44 72 74 102 104 144 146	290581889946
TPT(14)	2443130901402902717	0 2 30 32 42 44 84 86 144 146 210 212 264 266	1306659879306
SPT(16)	2443131087866333707	0 42 64 82 94 96 150 156 160 166 220 222 234 252 274 316	1493123310296
STPT(10)	2443131090363544457	0 2 30 32 60 62 90 92 120 122	1495620521046