Prime p₀= 1370184291489729167 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 52 2 16 2 136 2 10 2 58 2 (?)
a_n: 0 2 60 62 114 116 132 134 270 272 282 284 342 344
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: 344
Found by: stoneageman
db: batch=77, k=14, 58 52 16 136 10 58

TPT(14)	1370182791909184439	0 2 30 32 90 92 102 104 168 170 198 200 222 224	-1499580544728
SPT(16)	1370183097102788183	0 14 54 78 120 138 150 224 384 458 470 488 530 554 594 608	-1194386940984
SPT(16)	1370183109366092597	0 60 66 86 122 164 276 296 330 350 462 504 540 560 566 626	-1182123636570
SPT(16)	1370183307487348787	0 20 24 44 146 156 182 192 254 264 290 300 402 422 426 446	-984002380380
SPT(16)	1370183671334087483	0 24 60 80 170 210 224 228 236 240 254 294 384 404 440 464	-620155641684
SPT(16)	1370183731633088087	0 14 20 24 42 44 60 66 80 86 102 104 122 126 132 146	-559856641080
STPT(10)	1370184550826853257	0 2 12 14 42 44 72 74 84 86	259337124090
STPT(10)	1370184814804054589	0 2 18 20 30 32 42 44 60 62	523314325422
TPT(14)	1370184939857972129	0 2 90 92 108 110 180 182 192 194 210 212 222 224	648368242962
STPT(10)	1370186281886034449	0 2 12 14 90 92 168 170 180 182	1990396305282
STPT(10)	1370186318328499127	0 2 30 32 42 44 54 56 84 86	2026838769960