Prime p₀= 1245423763563395291 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 46 2 16 2 10 2 226 2 10 2 (?)
a_n: 0 2 30 32 78 80 96 98 108 110 336 338 348 350
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: 350
Found by: HenkM
db: batch=77, k=14, 28 46 16 10 226 10

SPT(16)	1245422844270986483	0 36 60 84 104 126 144 156 188 200 218 240 260 284 308 344	-919292408808
SPT(16)	1245423117759785707	0 10 42 66 84 94 156 166 240 250 312 322 340 364 396 406	-645803609584
SPT(16)	1245423517718312507	0 24 42 54 86 92 102 116 120 134 144 150 182 194 212 236	-245845082784
STPT(10)	1245423641477912327	0 2 12 14 72 74 132 134 144 146	-122085482964
STPT(10)	1245423671655514721	0 2 108 110 138 140 168 170 276 278	-91907880570
STPT(10)	1245423706457836721	0 2 6 8 48 50 90 92 96 98	-57105558570
SPT(16)	1245423802582421731	0 40 58 100 112 120 142 192 196 246 268 276 288 330 348 388	39019026440
SPT(16)	1245424041798255559	0 4 52 58 94 102 108 120 142 154 160 168 204 210 258 262	278234860268
STPT(10)	1245424114509313559	0 2 42 44 60 62 78 80 120 122	350945918268
STPT(10)	1245424278601990307	0 2 30 32 120 122 210 212 240 242	515038595016
SPT(16)	1245424329838647199	0 28 42 154 160 178 208 220 222 234 264 282 288 400 414 442	566275251908