Prime p₀= 2867713416357826997 starts a Symmetric tuple of 14 consecutive primes, which form 7 twin primes (STPT).
d_n: 0 2 28 2 40 2 28 2 28 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 102 104 132 134 174 176 204 206
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: 206
Found by: JayPi
db: batch=82, k=14, 2 28 2 40 2 28 2

SPT(16)	2867712535761878579	0 12 48 60 74 92 164 224 228 288 360 378 392 404 440 452	-880595948418
SPT(16)	2867712557369360717	0 20 32 86 156 200 206 216 266 276 282 326 396 450 462 482	-858988466280
STPT(10)	2867713207971188777	0 2 30 32 72 74 114 116 144 146	-208386638220
STPT(10)	2867713258602775937	0 2 54 56 72 74 90 92 144 146	-157755051060
TPT(14)	2867713291427257619	0 2 90 92 132 134 150 152 210 212 318 320 360 362	-124930569378
STPT(10)	2867713347471851699	0 2 18 20 30 32 42 44 60 62	-68885975298
TPT(14)	2867713416357826997	0 2 30 32 72 74 102 104 132 134 174 176 204 206	0
SPT(16)	2867713547610664421	0 32 102 126 146 168 170 212 216 258 260 282 302 326 396 428	131252837424
SPT(16)	2867713863085249201	0 28 88 102 106 108 118 130 258 270 280 282 286 300 360 388	446727422204
STPT(10)	2867713919792405939	0 2 48 50 90 92 132 134 180 182	503434578942
SPT(16)	2867714272434179191	0 18 22 28 36 78 102 108 130 136 160 202 210 216 220 238	856076352194