Prime p₀= 2153313239689383257 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 166 2 22 2 136 2 46 2 40 2 (?)
a_n: 0 2 12 14 180 182 204 206 342 344 390 392 432 434
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: 434
Found by: Landjunge
db: batch=81, k=14, 10 166 22 136 46 40

STPT(10)	2153312009452589267	0 2 42 44 72 74 102 104 144 146	-1230236793990
SPT(16)	2153312122421677013	0 14 68 104 110 128 158 168 200 210 240 258 264 300 354 368	-1117267706244
SPT(16)	2153312506749850493	0 24 36 54 66 104 126 138 146 158 180 218 230 248 260 284	-732939532764
STPT(10)	2153313035313812921	0 2 6 8 48 50 90 92 96 98	-204375570336
SPT(16)	2153313131189053147	0 12 66 70 90 130 210 220 252 262 342 382 402 406 460 472	-108500330110
SPT(16)	2153313215303244503	0 56 84 116 144 158 168 186 248 266 276 290 318 350 378 434	-24386138754
SPT(16)	2153313283311399457	0 66 70 76 96 124 190 244 252 306 372 400 420 426 430 496	43622016200
STPT(10)	2153313522069027551	0 2 36 38 78 80 120 122 156 158	282379644294
STPT(10)	2153313592883705597	0 2 42 44 72 74 102 104 144 146	353194322340
SPT(16)	2153314070566408301	0 30 38 60 66 126 146 156 182 192 212 272 278 300 308 338	830877025044
STPT(10)	2153314072180199009	0 2 12 14 90 92 168 170 180 182	832490815752