Prime p₀= 853198623435995477 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 40 2 10 2 28 2 64 2 40 2 (?)
a_n: 0 2 60 62 102 104 114 116 144 146 210 212 252 254
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: 254
Found by: RFGuy_KCCO
db: batch=73, k=14, 58 40 10 28 64 40

TPT(14)	853197105870457937	0 2 12 14 30 32 42 44 54 56 114 116 180 182	-1517565537540
SPT(13)	853197444656312059	0 24 42 72 84 150 162 174 240 252 282 300 324	-1178779683418
SPT(16)	853197463303528769	0 20 90 132 140 150 174 210 314 350 374 384 392 434 504 524	-1160132466708
SPT(16)	853197874693721651	0 2 48 66 86 128 156 162 176 182 210 252 272 290 336 338	-748742273826
STPT(10)	853198009209980207	0 2 42 44 72 74 102 104 144 146	-614226015270
STPT(10)	853198067965994477	0 2 24 26 42 44 60 62 84 86	-555470001000
SPT(16)	853198691995758497	0 26 36 42 50 54 86 104 252 270 302 306 314 320 330 356	68559763020
STPT(10)	853198732653299609	0 2 78 80 150 152 222 224 300 302	109217304132
STPT(10)	853198735424171861	0 2 6 8 48 50 90 92 96 98	111988176384
SPT(16)	853198746935804779	0 52 90 102 112 118 138 168 184 214 234 240 250 262 300 352	123499809302
SPT(16)	853198826367001931	0 12 18 32 50 60 146 150 218 222 308 318 336 350 356 368	202931006454