Prime p₀= 2097871128722156069 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 22 2 16 2 58 2 40 2 64 2 (?)
a_n: 0 2 18 20 42 44 60 62 120 122 162 164 228 230
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: 230
Found by: ChUcK
db: batch=80, k=14, 16 22 16 58 40 64

SPT(16)	2097870734917396849	0 4 18 64 102 160 172 174 268 270 282 340 378 424 438 442	-393804759220
SPT(16)	2097870744544940311	0 30 42 78 88 100 126 162 196 232 258 270 280 316 328 358	-384177215758
SPT(16)	2097870797508157981	0 22 60 78 88 96 102 136 222 256 262 270 280 298 336 358	-331213998088
SPT(16)	2097870801718999907	0 12 56 66 96 132 134 152 204 222 224 260 290 300 344 356	-327003156162
TPT(14)	2097870844859584031	0 2 18 20 30 32 150 152 180 182 186 188 198 200	-283862572038
STPT(10)	2097870992652516437	0 2 30 32 72 74 114 116 144 146	-136069639632
SPT(16)	2097871242049138529	0 18 44 54 80 128 158 168 194 204 234 282 308 318 344 362	113326982460
TPT(14)	2097871847674017299	0 2 78 80 150 152 222 224 258 260 300 302 318 320	718951861230
SPT(18)	2097871989855284911	0 22 30 90 120 130 132 160 190 198 228 256 258 268 298 358 366 388	861133128842
SPT(16)	2097872006367324457	0 30 64 72 154 162 174 180 184 190 202 210 292 300 334 364	877645168388
STPT(10)	2097872123061269879	0 2 42 44 60 62 78 80 120 122	994339113810