Prime p₀= 2314801211192361959 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 136 2 22 2 46 2 28 2 10 2 (?)
a_n: 0 2 60 62 198 200 222 224 270 272 300 302 312 314
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: 314
Found by: Orange Kid
db: batch=81, k=14, 58 136 22 46 28 10

STPT(10)	2314799208657305369	0 2 18 20 30 32 42 44 60 62	-2002535056590
SPT(18)	2314799665511479403	0 6 26 38 56 66 104 110 140 144 174 180 218 228 246 258 278 284	-1545680882556
SPT(16)	2314800103143124133	0 20 38 56 60 66 110 116 168 174 218 224 228 246 264 284	-1108049237826
SPT(16)	2314800239928988589	0 8 30 44 50 74 120 140 228 248 294 318 324 338 360 368	-971263373370
SPT(16)	2314800683513728979	0 24 38 44 60 92 114 140 192 218 240 272 288 294 308 332	-527678632980
SPT(16)	2314800752464251437	0 12 60 72 144 170 182 200 204 222 234 260 332 344 392 404	-458728110522
SPT(16)	2314801412526857663	0 6 56 96 114 128 140 164 180 204 216 230 248 288 338 344	201334495704
STPT(10)	2314801459481928551	0 2 36 38 78 80 120 122 156 158	248289566592
STPT(10)	2314801646364746807	0 2 90 92 102 104 114 116 204 206	435172384848
TPT(14)	2314801868517746939	0 2 42 44 48 50 90 92 198 200 240 242 270 272	657325384980
STPT(12)	2314802045745104717	0 2 84 86 102 104 222 224 240 242 324 326	834552742758