Prime p₀= 2732115778895824589 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 40 2 10 2 106 2 28 2 28 2 (?)
a_n: 0 2 48 50 90 92 102 104 210 212 240 242 270 272
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: 272
Found by: JayPi
db: batch=82, k=14, 46 40 10 106 28 28

TPT(14)	2732114312206099109	0 2 42 44 78 80 252 254 312 314 420 422 552 554	-1466689725480
SPT(16)	2732114407443490799	0 20 30 32 38 92 122 144 188 210 240 294 300 302 312 332	-1371452333790
SPT(16)	2732114657691918581	0 12 56 78 80 96 140 146 222 228 272 288 290 312 356 368	-1121203906008
SPT(16)	2732115419469040519	0 10 12 48 52 54 132 148 264 280 358 360 364 400 402 412	-359426784070
SPT(16)	2732115603624302447	0 14 54 56 74 114 116 146 180 210 212 252 270 272 312 326	-175271522142
STPT(10)	2732115634360709879	0 2 18 20 60 62 102 104 120 122	-144535114710
SPT(16)	2732115946702279169	0 8 50 74 92 120 132 134 138 140 152 180 198 222 264 272	167806454580
STPT(10)	2732116021165162571	0 2 36 38 78 80 120 122 156 158	242269337982
STPT(10)	2732116075206977321	0 2 36 38 78 80 120 122 156 158	296311152732
STPT(10)	2732116867763560727	0 2 90 92 102 104 114 116 204 206	1088867736138
STPT(10)	2732117488958705759	0 2 18 20 30 32 42 44 60 62	1710062881170