Prime p₀= 878028671195455907 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 64 2 10 2 166 2 40 2 46 2 (?)
a_n: 0 2 84 86 150 152 162 164 330 332 372 374 420 422
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: 422
Found by: MarkRBright
db: batch=73, k=14, 82 64 10 166 40 46

SPT(16)	878026024985374541	0 30 48 50 78 86 146 170 216 240 300 308 336 338 356 386	-2646210081366
STPT(10)	878026256871154397	0 2 30 32 42 44 54 56 84 86	-2414324301510
STPT(10)	878026379081748287	0 2 30 32 42 44 54 56 84 86	-2292113707620
STPT(10)	878027757834691127	0 2 42 44 72 74 102 104 144 146	-913360764780
SPT(16)	878027973300722311	0 12 22 58 100 118 132 138 190 196 210 228 270 306 316 328	-697894733596
STPT(10)	878028411685025927	0 2 30 32 42 44 54 56 84 86	-259510429980
SPT(16)	878028743683041473	0 56 120 168 180 194 230 234 290 294 330 344 356 404 468 524	72487585566
SPT(16)	878028906889019173	0 10 18 46 60 66 70 78 88 96 100 106 120 148 156 166	235693563266
TPT(14)	878029016746516931	0 2 6 8 60 62 90 92 126 128 156 158 168 170	345551061024
STPT(12)	878029147799042969	0 2 30 32 72 74 90 92 132 134 162 164	476603587062
SPT(16)	878029264534305991	0 16 52 60 66 72 112 148 150 186 226 232 238 246 282 298	593338850084