Prime p₀= 2850678150159678791 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 34 2 40 2 28 2 58 2 76 2 (?)
a_n: 0 2 30 32 66 68 108 110 138 140 198 200 276 278
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: 278
Found by: Jeff17
db: batch=82, k=14, 28 34 40 28 58 76

STPT(10)	2850675801898141739	0 2 18 20 30 32 42 44 60 62	-2348261537052
STPT(10)	2850676567650024887	0 2 54 56 72 74 90 92 144 146	-1582509653904
TPT(14)	2850676721521644467	0 2 60 62 72 74 90 92 102 104 114 116 174 176	-1428638034324
SPT(16)	2850677940228177931	0 22 28 88 130 132 160 172 198 210 238 240 282 342 348 370	-209931500860
STPT(10)	2850678053694766619	0 2 18 20 60 62 102 104 120 122	-96464912172
TPT(14)	2850678109150431317	0 2 84 86 102 104 114 116 240 242 294 296 330 332	-41009247474
SPT(16)	2850678372717025373	0 6 20 50 68 74 80 120 164 204 210 216 234 264 278 284	222557346582
STPT(10)	2850679091873171057	0 2 30 32 72 74 114 116 144 146	941713492266
TPT(14)	2850679595601578357	0 2 42 44 222 224 234 236 282 284 324 326 474 476	1445441899566
SPT(16)	2850679706267518877	0 14 42 92 122 170 174 224 240 290 294 342 372 422 450 464	1556107840086
STPT(10)	2850680072509790459	0 2 30 32 120 122 210 212 240 242	1922350111668