Prime p₀= 1049089647619383701 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 76 2 28 2 10 2 76 2 10 2 (?)
a_n: 0 2 48 50 126 128 156 158 168 170 246 248 258 260
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: 260
Found by: stoneageman
db: batch=76, k=14, 46 76 28 10 76 10

SPT(16)	1049088728648385419	0 2 42 60 98 108 122 128 222 228 242 252 290 308 348 350	-918970998282
STPT(10)	1049088746723237819	0 2 18 20 30 32 42 44 60 62	-900896145882
TPT(16)	1049089036681823381	0 2 60 62 96 98 126 128 138 140 336 338 366 368 396 398	-610937560320
SPT(16)	1049089045155133019	0 8 30 50 102 104 114 134 168 188 198 200 252 272 294 302	-602464250682
SPT(16)	1049089261423301701	0 10 18 30 148 162 168 172 246 250 256 270 388 400 408 418	-386196082000
STPT(10)	1049089589339872019	0 2 18 20 30 32 42 44 60 62	-58279511682
SPT(16)	1049089682033904157	0 12 22 30 36 54 70 72 124 126 142 160 166 174 184 196	34414520456
SPT(16)	1049089733962246793	0 48 68 78 84 98 108 164 204 260 270 284 290 300 320 368	86342863092
STPT(10)	1049089880573380757	0 2 42 44 72 74 102 104 144 146	232953997056
SPT(16)	1049089904528610331	0 30 58 72 88 102 112 148 192 228 238 252 268 282 310 340	256909226630
STPT(10)	1049089907926181507	0 2 12 14 42 44 72 74 84 86	260306797806