Prime p₀= 2109784852395488657 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 130 2 40 2 4 2 70 2 10 2 4 2 (?)
a_n: 0 2 132 134 174 176 180 182 252 254 264 266 270 272
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: Landjunge
db: batch=80, k=14, 130 40 4 70 10 4

SPT(16)	2109783716496418637	0 2 26 182 210 212 224 236 240 252 264 266 294 450 474 476	-1135899070020
SPT(16)	2109783757686321247	0 60 82 94 102 112 114 124 270 280 282 292 300 312 334 394	-1094709167410
SPT(16)	2109784019801793997	0 4 6 46 60 100 120 124 246 250 270 310 324 364 366 370	-832593694660
SPT(16)	2109784293060068743	0 4 16 18 30 66 88 100 144 156 178 214 226 228 240 244	-559335419914
SPT(16)	2109784497593579297	0 2 30 44 50 54 72 84 110 122 140 144 150 164 192 194	-354801909360
STPT(10)	2109784668701959901	0 2 36 38 78 80 120 122 156 158	-183693528756
STPT(10)	2109784965315055121	0 2 30 32 60 62 90 92 120 122	112919566464
TPT(14)	2109785057301379151	0 2 108 110 126 128 168 170 246 248 336 338 378 380	204905890494
SPT(16)	2109785654057431253	0 14 18 24 36 44 54 78 116 140 150 158 170 176 180 194	801661942596
SPT(18)	2109785654566738111	0 28 46 52 66 88 90 112 118 120 126 148 150 172 186 192 210 238	802171249454
TPT(14)	2109785731489669799	0 2 12 14 102 104 150 152 192 194 252 254 282 284	879094181142