Prime p₀= 3034414367097117869 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 94 2 118 2 190 2 10 2 16 2 (?)
a_n: 0 2 42 44 138 140 258 260 450 452 462 464 480 482
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: 482
Found by: JayPi
db: batch=82, k=14, 40 94 118 190 10 16

SPT(16)	3034413240532120673	0 6 36 56 84 90 140 144 146 150 200 206 234 254 284 290	-1126564997196
SPT(16)	3034413281414246981	0 2 12 36 42 78 110 140 168 198 230 266 272 296 306 308	-1085682870888
STPT(10)	3034413534084199217	0 2 30 32 42 44 54 56 84 86	-833012918652
STPT(10)	3034413623789485547	0 2 30 32 42 44 54 56 84 86	-743307632322
SPT(16)	3034414147297514357	0 32 56 90 132 176 204 210 236 242 270 314 356 390 414 446	-219799603512
STPT(10)	3034414229637244967	0 2 42 44 102 104 162 164 204 206	-137459872902
STPT(10)	3034414553839444847	0 2 30 32 42 44 54 56 84 86	186742326978
SPT(16)	3034414761942047269	0 24 30 52 78 90 100 114 148 162 172 184 210 232 238 262	394844929400
STPT(10)	3034414828746841877	0 2 30 32 42 44 54 56 84 86	461649724008
SPT(16)	3034414926652936201	0 30 72 78 88 126 138 156 172 190 202 240 250 256 298 328	559555818332
STPT(10)	3034415050267294667	0 2 30 32 42 44 54 56 84 86	683170176798