Prime p₀= 1427241072329359709 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 34 2 22 2 16 2 10 2 34 2 (?)
a_n: 0 2 42 44 78 80 102 104 120 122 132 134 168 170
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: 170
Found by: suriv
db: batch=78, k=14, 40 34 22 16 10 34

TPT(14)	1427240347374777491	0 2 6 8 48 50 78 80 90 92 96 98 108 110	-724954582218
STPT(10)	1427240348701177847	0 2 12 14 72 74 132 134 144 146	-723628181862
TPT(14)	1427240493486316499	0 2 12 14 18 20 198 200 222 224 282 284 300 302	-578843043210
STPT(10)	1427240705154305099	0 2 42 44 60 62 78 80 120 122	-367175054610
SPT(16)	1427240712909625841	0 36 42 62 80 90 110 120 152 162 182 192 210 230 236 272	-359419733868
SPT(16)	1427240937161052193	0 34 36 70 76 78 88 90 124 126 136 138 144 178 180 214	-135168307516
SPT(16)	1427241099235199123	0 14 30 56 78 80 134 170 234 270 324 326 348 374 390 404	26905839414
STPT(10)	1427241144954630251	0 2 36 38 78 80 120 122 156 158	72625270542
STPT(10)	1427241198745553687	0 2 12 14 42 44 72 74 84 86	126416193978
STPT(10)	1427241329828771591	0 2 36 38 78 80 120 122 156 158	257499411882
STPT(10)	1427242435610580497	0 2 30 32 42 44 54 56 84 86	1363281220788