Prime p₀= 2905678041018079979 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 166 2 10 2 64 2 28 2 70 2 (?)
a_n: 0 2 42 44 210 212 222 224 288 290 318 320 390 392
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: 392
Found by: Roadranner
db: batch=82, k=14, 40 166 10 64 28 70

STPT(10)	2905676925946189007	0 2 30 32 42 44 54 56 84 86	-1115071890972
TPT(14)	2905676933633939207	0 2 54 56 72 74 84 86 150 152 210 212 222 224	-1107384140772
STPT(10)	2905677157987516037	0 2 30 32 72 74 114 116 144 146	-883030563942
TPT(14)	2905677224654258651	0 2 18 20 36 38 78 80 126 128 156 158 186 188	-816363821328
TPT(14)	2905677323101137461	0 2 6 8 30 32 48 50 186 188 198 200 240 242	-717916942518
TPT(14)	2905677718330345289	0 2 48 50 78 80 90 92 258 260 288 290 300 302	-322687734690
SPT(16)	2905678278355071839	0 20 42 44 74 92 104 120 152 168 180 198 228 230 252 272	237336991860
STPT(10)	2905678515775958357	0 2 30 32 42 44 54 56 84 86	474757878378
SPT(16)	2905678534995722527	0 6 30 34 42 60 82 96 130 144 166 184 192 196 220 226	493977642548
SPT(16)	2905678649180995691	0 50 56 66 138 146 170 180 248 258 282 290 362 372 378 428	608162915712
STPT(10)	2905678668425554631	0 2 36 38 78 80 120 122 156 158	627407474652