Prime p₀= 3808058512173745829 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 136 2 46 2 40 2 160 2 (?)
a_n: 0 2 30 32 42 44 180 182 228 230 270 272 432 434
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: pah
db: batch=84, k=14, 28 10 136 46 40 160

SPT(16)	3808056671657930651	0 26 68 108 138 176 180 218 240 278 282 320 350 390 432 458	-1840515815178
STPT(10)	3808056920127989327	0 2 30 32 42 44 54 56 84 86	-1592045756502
SPT(16)	3808057113008780777	0 6 12 32 62 66 80 270 272 462 476 480 510 530 536 542	-1399164965052
SPT(16)	3808057723170075731	0 26 42 80 132 140 182 200 342 360 402 410 462 500 516 542	-789003670098
SPT(16)	3808057725841364081	0 6 20 30 42 50 60 72 146 158 168 176 188 198 212 218	-786332381748
STPT(10)	3808058369648943029	0 2 12 14 90 92 168 170 180 182	-142524802800
SPT(16)	3808059798579135391	0 22 90 96 196 208 210 262 276 328 330 342 442 448 516 538	1286405389562
SPT(16)	3808060992404693329	0 22 34 40 48 100 142 160 252 270 312 364 372 378 390 412	2480230947500
SPT(16)	3808061043332785223	0 8 14 20 78 96 204 230 264 290 398 416 474 480 486 494	2531159039394
SPT(16)	3808061142883217833	0 18 30 60 70 96 100 106 120 126 130 156 166 196 208 226	2630709472004
STPT(12)	3808061664065427467	0 2 12 14 30 32 54 56 72 74 84 86	3151891681638