Prime p₀= 2687832699415564007 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 52 2 16 2 10 2 34 2 28 2 (?)
a_n: 0 2 30 32 84 86 102 104 114 116 150 152 180 182
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: 182
Found by: JayPi
db: batch=82, k=14, 28 52 16 10 34 28

SPT(16)	2687830387827023003	0 6 26 36 66 104 108 134 180 206 210 248 278 288 308 314	-2311588541004
SPT(16)	2687830491437014613	0 44 54 74 78 96 120 126 128 134 158 176 180 200 210 254	-2207978549394
STPT(12)	2687831280595122929	0 2 78 80 120 122 168 170 210 212 288 290	-1418820441078
STPT(12)	2687831444645423339	0 2 30 32 42 44 90 92 102 104 132 134	-1254770140668
SPT(16)	2687832414945679567	0 42 70 114 142 144 172 184 210 222 250 252 280 324 352 394	-284469884440
SPT(16)	2687832553874514427	0 6 16 36 64 90 96 120 160 184 190 216 244 264 274 280	-145541049580
STPT(10)	2687832859680562421	0 2 36 38 78 80 120 122 156 158	160264998414
STPT(10)	2687832873052150037	0 2 30 32 42 44 54 56 84 86	173636586030
STPT(10)	2687833019119437191	0 2 30 32 60 62 90 92 120 122	319703873184
STPT(10)	2687833584054198917	0 2 30 32 42 44 54 56 84 86	884638634910
SPT(16)	2687834104399025839	0 10 28 34 48 54 82 108 154 180 208 214 228 234 252 262	1404983461832