Prime p₀= 2727547659075397139 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 70 2 28 2 10 2 64 2 10 2 (?)
a_n: 0 2 18 20 90 92 120 122 132 134 198 200 210 212
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: 212
Found by: JayPi
db: batch=82, k=14, 16 70 28 10 64 10

SPT(16)	2727546403265134837	0 16 40 64 106 124 156 162 184 190 222 240 282 306 330 346	-1255810262302
STPT(10)	2727546810132295829	0 2 18 20 30 32 42 44 60 62	-848943101310
SPT(16)	2727546994299189901	0 10 66 72 82 112 142 198 220 276 306 336 346 352 408 418	-664776207238
SPT(16)	2727547436995297493	0 54 56 84 90 110 156 170 174 188 234 254 260 288 290 344	-222080099646
SPT(16)	2727547460760965173	0 18 24 28 60 78 94 118 270 294 310 328 360 364 370 388	-198314431966
STPT(10)	2727547534616899409	0 2 18 20 30 32 42 44 60 62	-124458497730
SPT(16)	2727547711197716879	0 8 38 68 80 84 92 164 168 240 248 252 264 294 324 332	52122319740
SPT(16)	2727547839871463677	0 4 12 22 106 112 136 144 172 180 204 210 294 304 312 316	180796066538
SPT(16)	2727548489234144089	0 22 64 108 114 192 198 208 264 274 280 358 364 408 450 472	830158746950
SPT(16)	2727548548201765427	0 2 6 44 54 62 96 104 132 140 174 182 192 230 234 236	889126368288
STPT(10)	2727548607208404377	0 2 30 32 72 74 114 116 144 146	948133007238