Prime p₀= 2109581667885456629 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 28 2 106 2 16 2 52 2 64 2 (?)
a_n: 0 2 72 74 102 104 210 212 228 230 282 284 348 350
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: 350
Found by: KPX
db: batch=80, k=14, 70 28 106 16 52 64

SPT(16)	2109579469027092817	0 16 82 144 156 174 282 286 360 364 472 490 502 564 630 646	-2198858363812
STPT(10)	2109580478073257237	0 2 42 44 72 74 102 104 144 146	-1189812199392
STPT(10)	2109580652075261327	0 2 30 32 42 44 54 56 84 86	-1015810195302
STPT(10)	2109580765896125237	0 2 42 44 72 74 102 104 144 146	-901989331392
TPT(14)	2109580836870314657	0 2 42 44 54 56 132 134 174 176 210 212 222 224	-831015141972
SPT(16)	2109581253472138151	0 30 110 122 146 156 200 206 216 222 266 276 300 312 392 422	-414413318478
STPT(10)	2109581692254114107	0 2 12 14 42 44 72 74 84 86	24368657478
SPT(16)	2109581947429404631	0 10 18 28 40 52 150 166 192 208 306 318 330 340 348 358	279543948002
STPT(10)	2109582037817699087	0 2 24 26 42 44 60 62 84 86	369932242458
TPT(14)	2109582360199801307	0 2 42 44 72 74 120 122 162 164 240 242 294 296	692314344678
STPT(10)	2109582501468705227	0 2 30 32 42 44 54 56 84 86	833583248598