Prime p₀= 2874884985317534927 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 232 2 28 2 106 2 16 2 10 2 16 2 (?)
a_n: 0 2 234 236 264 266 372 374 390 392 402 404 420 422
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: 422
Found by: Landjunge
db: batch=82, k=14, 232 28 106 16 10 16

SPT(16)	2874882899780478143	0 14 18 50 74 104 140 144 200 204 240 270 294 326 330 344	-2085537056784
SPT(18)	2874883106145046159	0 10 22 48 64 94 144 174 204 268 298 328 378 408 424 450 462 472	-1879172488768
SPT(16)	2874883422404087833	0 18 46 48 58 70 76 88 186 198 204 216 226 228 256 274	-1562913447094
SPT(13)	2874883912919565119	0 60 102 132 138 150 180 210 222 228 258 300 360	-1072397969808
SPT(16)	2874884591586765269	0 2 54 72 78 80 84 108 224 248 252 254 260 278 330 332	-393730769658
STPT(10)	2874884761356813221	0 2 30 32 78 80 126 128 156 158	-223960721706
SPT(16)	2874885004889150987	0 26 30 60 86 90 140 144 236 240 290 294 320 350 354 380	19571616060
STPT(10)	2874885155743083737	0 2 42 44 72 74 102 104 144 146	170425548810
SPT(16)	2874885167617360423	0 4 60 70 78 94 126 154 180 208 240 256 264 274 330 334	182299825496
STPT(10)	2874885322150643027	0 2 30 32 72 74 114 116 144 146	336833108100
STPT(10)	2874885841763904251	0 2 6 8 48 50 90 92 96 98	856446369324