Prime p₀= 2735275748522477117 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 16 2 10 2 28 2 40 2 (?)
a_n: 0 2 12 14 42 44 60 62 72 74 102 104 144 146
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: 146
Found by: conf [MM]
db: batch=82, k=14, 10 28 16 10 28 40

SPT(16)	2735274808999327957	0 4 40 66 82 96 130 172 294 336 370 384 400 426 462 466	-939523149160
STPT(10)	2735275125086672627	0 2 30 32 42 44 54 56 84 86	-623435804490
SPT(16)	2735275363633643773	0 24 28 40 70 78 96 118 126 148 166 174 204 216 220 244	-384888833344
STPT(10)	2735275520613927617	0 2 42 44 72 74 102 104 144 146	-227908549500
STPT(10)	2735275522642697261	0 2 78 80 108 110 138 140 216 218	-225879779856
SPT(16)	2735275537387404757	0 30 36 40 72 76 102 106 180 184 210 214 246 250 256 286	-211135072360
STPT(10)	2735276002813394387	0 2 12 14 42 44 72 74 84 86	254290917270
SPT(16)	2735276063637022651	0 48 72 82 88 102 142 148 180 186 226 240 246 256 280 328	315114545534
SPT(16)	2735276098921939819	0 22 64 72 100 102 130 142 192 204 232 234 262 270 312 334	350399462702
STPT(10)	2735276201835433349	0 2 42 44 60 62 78 80 120 122	453312956232
SPT(16)	2735276741562362323	0 6 28 36 58 84 88 120 124 156 160 186 208 216 238 244	993039885206