Prime p₀= 2367219026037620861 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 34 2 82 2 58 2 64 2 172 2 (?)
a_n: 0 2 30 32 66 68 150 152 210 212 276 278 450 452
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: 452
Found by: eclipse99
db: batch=81, k=14, 28 34 82 58 64 172

STPT(10)	2367217652612882981	0 2 6 8 18 20 30 32 36 38	-1373424737880
SPT(16)	2367217814118477611	0 12 20 30 62 90 120 186 296 362 392 420 452 462 470 482	-1211919143250
SPT(16)	2367217915440811987	0 24 42 52 136 204 246 264 292 310 352 420 504 514 532 556	-1110596808874
SPT(16)	2367218000999819887	0 6 24 64 82 142 154 156 160 162 174 234 252 292 310 316	-1025037800974
SPT(16)	2367218185129498439	0 14 30 44 48 68 90 128 144 182 204 224 228 242 258 272	-840908122422
STPT(10)	2367218655547344419	0 2 18 20 30 32 42 44 60 62	-370490276442
SPT(16)	2367219081587108809	0 4 30 34 42 90 100 102 112 114 124 172 180 184 210 214	55549487948
SPT(16)	2367219566975333107	0 4 10 52 94 100 102 156 190 244 246 252 294 336 342 346	540937712246
SPT(16)	2367219919822512089	0 12 20 74 98 132 144 152 180 188 200 234 258 312 320 332	893784891228
STPT(10)	2367220380505730801	0 2 6 8 18 20 30 32 36 38	1354468109940
SPT(16)	2367220388538221309	0 32 42 78 90 98 114 140 192 218 234 242 254 290 300 332	1362500600448