Prime p₀= 2727810909267603461 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 28 2 10 2 4 2 22 2 16 2 (?)
a_n: 0 2 78 80 108 110 120 122 126 128 150 152 168 170
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: 170
Found by: JayPi
db: batch=82, k=14, 76 28 10 4 22 16

TPT(14)	2727810233845879277	0 2 42 44 60 62 84 86 102 104 252 254 300 302	-675421724184
SPT(16)	2727810422380753769	0 8 38 78 90 98 134 138 164 168 204 212 224 264 294 302	-486886849692
SPT(16)	2727810571701562969	0 4 18 42 108 118 154 174 178 198 234 244 310 334 348 352	-337566040492
STPT(10)	2727810617868321449	0 2 48 50 60 62 72 74 120 122	-291399282012
STPT(10)	2727810703510800107	0 2 30 32 72 74 114 116 144 146	-205756803354
SPT(16)	2727810748234063301	0 6 36 98 102 140 150 168 200 218 228 266 270 332 362 368	-161033540160
SPT(16)	2727810946903580633	0 18 30 44 60 96 116 140 174 198 218 254 270 284 296 314	37635977172
STPT(10)	2727811628058663227	0 2 54 56 132 134 210 212 264 266	718791059766
STPT(10)	2727811932613790717	0 2 30 32 60 62 90 92 120 122	1023346187256
SPT(16)	2727812543302922821	0 22 48 58 78 82 88 132 196 240 246 250 270 280 306 328	1634035319360
STPT(10)	2727812630608806701	0 2 30 32 120 122 210 212 240 242	1721341203240