Prime p₀= 2942512672790132669 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 64 2 10 2 16 2 22 2 (?)
a_n: 0 2 12 14 42 44 108 110 120 122 138 140 162 164
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: 164
Found by: JonS
db: batch=82, k=14, 10 28 64 10 16 22

SPT(16)	2942510271935105087	0 30 62 66 86 102 140 146 150 156 194 210 230 234 266 296	-2400855027582
SPT(16)	2942510846338299869	0 14 48 54 68 110 120 210 218 308 318 360 374 380 414 428	-1826451832800
SPT(16)	2942512140313591421	0 38 42 72 80 86 92 116 132 156 162 168 176 206 210 248	-532476541248
STPT(10)	2942512363513161347	0 2 30 32 42 44 54 56 84 86	-309276971322
STPT(10)	2942512441431280811	0 2 30 32 60 62 90 92 120 122	-231358851858
SPT(16)	2942512660140844603	0 18 28 70 120 130 168 196 198 226 264 274 324 366 376 394	-12649288066
SPT(16)	2942512942163775961	0 58 66 88 96 168 172 198 220 246 250 322 330 352 360 418	269373643292
STPT(10)	2942513860874818301	0 2 30 32 78 80 126 128 156 158	1188084685632
SPT(16)	2942514046994996681	0 8 50 78 126 138 140 168 188 216 218 230 278 306 348 356	1374204864012
SPT(13)	2942514080492738153	0 24 48 114 174 198 204 210 234 294 360 384 408	1407702605484
SPT(16)	2942514907684890767	0 20 42 54 74 84 92 116 120 144 152 162 182 194 216 236	2234894758098