Prime p₀= 2871509274031929317 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 10 2 34 2 28 2 28 2 52 2 (?)
a_n: 0 2 42 44 54 56 90 92 120 122 150 152 204 206
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: 206
Found by: Landjunge
db: batch=82, k=14, 40 10 34 28 28 52

STPT(10)	2871507368358476369	0 2 18 20 30 32 42 44 60 62	-1905673452948
SPT(16)	2871507473837081063	0 20 54 74 78 98 108 116 168 176 186 206 210 230 264 284	-1800194848254
STPT(10)	2871507712051910471	0 2 78 80 138 140 198 200 276 278	-1561980018846
SPT(16)	2871508278299046403	0 28 54 64 70 94 120 136 168 184 210 234 240 250 276 304	-995732882914
SPT(16)	2871508934606531099	0 20 44 62 80 102 114 132 290 308 320 342 360 378 402 422	-339425398218
SPT(16)	2871509159794745521	0 30 36 46 60 76 100 232 240 372 396 412 426 436 442 472	-114237183796
SPT(13)	2871509447456538683	0 6 60 126 156 174 240 306 324 354 420 474 480	173424609366
SPT(16)	2871509559032271373	0 6 34 40 54 58 60 76 108 124 126 130 144 150 178 184	285000342056
SPT(16)	2871509824360928801	0 26 32 56 92 102 176 200 228 252 326 336 372 396 402 428	550328999484
SPT(16)	2871509825462336351	0 12 18 56 80 116 152 156 182 186 222 258 282 320 326 338	551430407034
SPT(16)	2871510161730333733	0 54 96 114 130 150 166 178 186 198 214 234 250 268 310 364	887698404416