Prime p₀= 2069540104357405541 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 34 2 10 2 16 2 10 2 28 2 (?)
a_n: 0 2 30 32 66 68 78 80 96 98 108 110 138 140
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: 140
Found by: Landjunge
db: batch=80, k=14, 28 34 10 16 10 28

STPT(10)	2069538973779109667	0 2 42 44 102 104 162 164 204 206	-1130578295874
STPT(10)	2069539002857857847	0 2 30 32 42 44 54 56 84 86	-1101499547694
SPT(16)	2069539045245829847	0 26 86 114 132 152 156 170 186 200 204 224 242 270 330 356	-1059111575694
STPT(10)	2069539534847562689	0 2 18 20 30 32 42 44 60 62	-569509842852
SPT(16)	2069539559163148547	0 12 54 62 72 102 132 146 180 194 224 254 264 272 314 326	-545194256994
STPT(10)	2069539706113042829	0 2 120 122 180 182 240 242 360 362	-398244362712
STPT(10)	2069540365043363699	0 2 48 50 90 92 132 134 180 182	260685958158
STPT(10)	2069540476429707269	0 2 18 20 30 32 42 44 60 62	372072301728
STPT(10)	2069540536512498617	0 2 12 14 42 44 72 74 84 86	432155093076
SPT(16)	2069541073476096817	0 4 6 64 114 132 154 160 366 372 394 412 462 520 522 526	969118691276
SPT(16)	2069541082288219937	0 14 26 90 116 144 152 200 216 264 272 300 326 390 402 416	977930814396