Prime p₀= 2341250922362291657 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 40 2 46 2 70 2 4 2 28 2 (?)
a_n: 0 2 12 14 54 56 102 104 174 176 180 182 210 212
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: 212
Found by: Xenon
db: batch=81, k=14, 10 40 46 70 4 28

SPT(16)	2341250190559719991	0 12 52 58 60 66 100 112 126 138 172 178 180 186 226 238	-731802571666
SPT(16)	2341250294988653513	0 14 50 78 80 108 150 188 240 278 320 348 350 378 414 428	-627373638144
SPT(16)	2341250306235389699	0 12 14 24 90 98 120 134 138 152 174 182 248 258 260 272	-616126901958
SPT(16)	2341250440996974571	0 18 42 70 120 138 150 168 232 250 262 280 330 358 382 400	-481365317086
TPT(14)	2341250736705634277	0 2 84 86 102 104 192 194 234 236 270 272 294 296	-185656657380
SPT(16)	2341250922247178219	0 14 50 62 80 92 102 104 180 182 192 204 222 234 270 284	-115113438
SPT(16)	2341251451343699383	0 34 54 90 108 150 168 180 208 220 238 280 298 334 354 388	528981407726
SPT(16)	2341251649795091963	0 20 24 54 206 230 276 290 294 308 354 378 530 560 564 584	727432800306
TPT(14)	2341251813380748911	0 2 168 170 198 200 240 242 276 278 318 320 360 362	891018457254
STPT(10)	2341251877019917031	0 2 30 32 120 122 210 212 240 242	954657625374
SPT(16)	2341251919584258211	0 18 60 90 130 150 186 192 196 202 238 258 298 328 370 388	997221966554