Prime p₀= 2850514498706198627 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 70 2 28 2 28 2 64 2 10 2 (?)
a_n: 0 2 42 44 114 116 144 146 174 176 240 242 252 254
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: 254
Found by: [SG-FC] hl
db: batch=82, k=14, 40 70 28 28 64 10

SPT(16)	2850513839350308239	0 12 54 62 92 104 162 210 224 272 330 342 372 380 422 434	-659355890388
SPT(16)	2850513962989003327	0 4 34 42 52 90 130 156 190 216 256 294 304 312 342 346	-535717195300
SPT(16)	2850514075039705999	0 18 30 58 84 108 112 150 172 210 214 238 264 292 304 322	-423666492628
SPT(16)	2850514083128596847	0 32 56 92 132 134 156 186 200 230 252 254 294 330 354 386	-415577601780
SPT(16)	2850514218337040699	0 8 14 42 68 114 120 164 168 212 218 264 290 318 324 332	-280369157928
STPT(10)	2850514333678018517	0 2 42 44 72 74 102 104 144 146	-165028180110
STPT(10)	2850514911542589827	0 2 30 32 42 44 54 56 84 86	412836391200
STPT(10)	2850514958344721951	0 2 6 8 48 50 90 92 96 98	459638523324
STPT(10)	2850514960912545929	0 2 30 32 60 62 90 92 120 122	462206347302
STPT(10)	2850515080317284927	0 2 30 32 42 44 54 56 84 86	581611086300
STPT(10)	2850515093246238917	0 2 42 44 72 74 102 104 144 146	594540040290