Prime p₀= 2696446485340882739 starts a Symmetric tuple of 14 consecutive primes, which form 7 twin primes (STPT).
d_n: 0 2 10 2 34 2 40 2 40 2 34 2 10 2 (?)
a_n: 0 2 12 14 48 50 90 92 132 134 168 170 180 182
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: 182
Found by: JayPi
db: batch=82, k=14, 2 10 2 34 2 40 2

SPT(16)	2696445756343278673	0 54 108 238 240 294 298 318 370 390 394 448 450 580 634 688	-728997604066
SPT(16)	2696446002752916329	0 14 54 68 144 158 188 210 212 234 264 278 354 368 408 422	-482587966410
SPT(16)	2696446126001711197	0 114 130 160 190 280 294 340 384 430 444 534 564 594 610 724	-359339171542
SPT(16)	2696446134502061551	0 36 42 60 78 112 126 142 156 172 186 220 238 256 262 298	-350838821188
SPT(16)	2696446253805092429	0 42 54 68 104 158 182 240 242 300 324 378 414 428 440 482	-231535790310
STPT(10)	2696446447779240857	0 2 30 32 42 44 54 56 84 86	-37561641882
TPT(14)	2696446485340882739	0 2 12 14 48 50 90 92 132 134 168 170 180 182	0
STPT(10)	2696446501689261707	0 2 12 14 42 44 72 74 84 86	16348378968
SPT(16)	2696446538132632583	0 20 48 78 86 104 134 156 158 180 210 228 236 266 294 314	52791749844
STPT(10)	2696446820673126317	0 2 30 32 42 44 54 56 84 86	335332243578
STPT(10)	2696447233066563719	0 2 78 80 120 122 162 164 240 242	747725680980