Prime p₀= 2684678499006709397 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 28 2 76 2 16 2 58 2 82 2 (?)
a_n: 0 2 24 26 54 56 132 134 150 152 210 212 294 296
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: 296
Found by: RFGuy_KCCO
db: batch=82, k=14, 22 28 76 16 58 82

SPT(16)	2684675246508637861	0 6 10 36 40 58 112 162 196 246 300 318 322 348 352 358	-3252498071536
STPT(10)	2684675506564275311	0 2 6 8 48 50 90 92 96 98	-2992442434086
STPT(10)	2684675789055691727	0 2 30 32 102 104 174 176 204 206	-2709951017670
SPT(16)	2684676751684766731	0 70 102 126 138 172 190 256 282 348 366 400 412 436 468 538	-1747321942666
STPT(10)	2684676873948277259	0 2 42 44 60 62 78 80 120 122	-1625058432138
SPT(16)	2684677933182579517	0 24 36 46 60 66 94 100 150 156 184 190 204 214 226 250	-565824129880
SPT(16)	2684678841984029131	0 22 42 48 72 118 150 192 208 250 282 328 352 358 378 400	342977319734
TPT(14)	2684678861785960421	0 2 48 50 90 92 96 98 126 128 186 188 228 230	362779251024
STPT(10)	2684679111136008977	0 2 12 14 42 44 72 74 84 86	612129299580
SPT(16)	2684680183561793773	0 10 30 66 100 124 136 144 166 174 186 210 244 280 300 310	1684555084376
SPT(16)	2684680687373865821	0 12 18 42 50 78 86 90 98 102 110 138 146 170 176 188	2188367156424