Prime p₀= 1100447430649288607 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 58 2 10 2 88 2 34 2 28 2 (?)
a_n: 0 2 12 14 72 74 84 86 174 176 210 212 240 242
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: 242
Found by: Theadalus
db: batch=76, k=14, 10 58 10 88 34 28

SPT(16)	1100446445264068291	0 12 36 60 76 78 88 120 208 240 250 252 268 292 316 328	-985385220316
STPT(10)	1100446476119191247	0 2 54 56 72 74 90 92 144 146	-954530097360
SPT(16)	1100446504880334121	0 12 28 52 70 102 108 180 208 280 286 318 336 360 376 388	-925768954486
TPT(14)	1100446682847927797	0 2 30 32 42 44 90 92 114 116 174 176 180 182	-747801360810
STPT(10)	1100446705765719227	0 2 24 26 42 44 60 62 84 86	-724883569380
SPT(16)	1100447139798216097	0 34 42 60 70 72 82 112 114 144 154 156 166 184 192 226	-290851072510
SPT(16)	1100447478222883451	0 38 56 108 122 126 152 180 218 246 272 276 290 342 360 398	47573594844
STPT(10)	1100447728314359177	0 2 30 32 42 44 54 56 84 86	297665070570
TPT(14)	1100447841452466761	0 2 18 20 48 50 60 62 90 92 126 128 168 170	410803178154
SPT(16)	1100447948556351029	0 8 32 42 74 78 120 138 164 182 224 228 260 270 294 302	517907062422
SPT(16)	1100448146271759539	0 8 42 48 72 90 108 140 192 224 242 260 284 290 324 332	715622470932