Prime p₀= 2439378416978308649 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 28 2 88 2 58 2 40 2 40 2 (?)
a_n: 0 2 18 20 48 50 138 140 198 200 240 242 282 284
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: 284
Found by: Penguin
db: batch=82, k=14, 16 28 88 58 40 40

STPT(10)	2439377209510449797	0 2 30 32 42 44 54 56 84 86	-1207467858852
SPT(16)	2439377276225516353	0 30 46 90 114 136 154 168 226 240 258 280 304 348 364 394	-1140752792296
STPT(10)	2439377751577736237	0 2 30 32 72 74 114 116 144 146	-665400572412
SPT(16)	2439377976058640509	0 12 34 100 124 142 154 168 244 258 270 288 312 378 400 412	-440919668140
SPT(16)	2439378098942668669	0 24 52 70 84 90 108 114 148 154 172 178 192 210 238 262	-318035639980
SPT(16)	2439378191445247271	0 6 20 30 48 50 92 108 140 156 198 200 218 228 242 248	-225533061378
SPT(16)	2439378927980959553	0 26 66 78 116 120 138 158 186 206 224 228 266 278 318 344	511002650904
SPT(16)	2439379424338614427	0 52 96 102 196 222 250 270 286 306 334 360 454 460 504 556	1007360305778
SPT(16)	2439379441853975371	0 60 70 100 132 160 186 196 216 226 252 280 312 342 352 412	1024875666722
STPT(10)	2439379846950990701	0 2 6 8 18 20 30 32 36 38	1429972682052
STPT(10)	2439380045050469327	0 2 42 44 72 74 102 104 144 146	1628072160678