Prime p₀= 1025413272701948831 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 88 2 34 2 82 2 88 2 4 2 (?)
a_n: 0 2 30 32 120 122 156 158 240 242 330 332 336 338
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: 338
Found by: HenkM
db: batch=76, k=14, 28 88 34 82 88 4

TPT(16)	1025412359653893401	0 2 36 38 240 242 246 248 318 320 378 380 390 392 546 548	-913048055430
SPT(16)	1025412614640427967	0 32 120 134 150 156 246 266 270 290 380 386 402 416 504 536	-658061520864
TPT(14)	1025412651626490527	0 2 12 14 54 56 72 74 114 116 180 182 210 212	-621075458304
SPT(16)	1025412766665946817	0 26 30 42 54 72 86 144 152 210 224 242 254 266 270 296	-506036002014
STPT(10)	1025412797022268337	0 2 42 44 72 74 102 104 144 146	-475679680494
STPT(10)	1025413047554307017	0 2 60 62 72 74 84 86 144 146	-225147641814
SPT(16)	1025413293533452463	0 26 30 38 44 66 68 96 98 126 128 150 156 164 168 194	20831503632
SPT(16)	1025413411097095343	0 14 38 44 50 74 98 134 144 180 204 228 234 240 264 278	138395146512
TPT(14)	1025413561986357209	0 2 12 14 42 44 120 122 282 284 288 290 318 320	289284408378
TPT(14)	1025413610603654429	0 2 42 44 108 110 120 122 132 134 150 152 300 302	337901705598
SPT(16)	1025414033561569081	0 28 48 72 108 162 178 198 202 222 238 292 328 352 372 400	760859620250