Prime p₀= 2730963092515270157 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 238 2 10 2 76 2 82 2 16 2 (?)
a_n: 0 2 30 32 270 272 282 284 360 362 444 446 462 464
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: 464
Found by: JayPi
db: batch=82, k=14, 28 238 10 76 82 16

SPT(16)	2730962734673143037	0 20 42 62 74 96 104 110 126 132 140 162 174 194 216 236	-357842127120
STPT(10)	2730962748846164267	0 2 30 32 42 44 54 56 84 86	-343669105890
SPT(16)	2730962809763605457	0 14 32 42 56 122 134 152 234 252 264 330 344 354 372 386	-282751664700
TPT(14)	2730962859445299077	0 2 54 56 60 62 144 146 210 212 390 392 420 422	-233069971080
STPT(10)	2730962997973383989	0 2 12 14 30 32 48 50 60 62	-94541886168
SPT(16)	2730963089987528293	0 6 28 46 66 88 100 118 126 144 156 178 198 216 238 244	-2527741864
SPT(16)	2730963581634000199	0 4 18 48 64 82 142 172 240 270 330 348 364 394 408 412	489118730042
TPT(14)	2730963806738559311	0 2 36 38 78 80 96 98 108 110 126 128 150 152	714223289154
STPT(10)	2730963878238354917	0 2 54 56 72 74 90 92 144 146	785723084760
STPT(12)	2730964132510292177	0 2 30 32 72 74 102 104 144 146 174 176	1039995022020
TPT(14)	2730964522773675491	0 2 18 20 30 32 120 122 156 158 186 188 198 200	1430258405334