Prime p₀= 812521350053744141 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 94 2 28 2 58 2 82 2 34 2 52 2 (?)
a_n: 0 2 96 98 126 128 186 188 270 272 306 308 360 362
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: 362
Found by: [SG]FX
db: batch=73, k=14, 94 28 58 82 34 52

STPT(10)	812520308838095327	0 2 30 32 42 44 54 56 84 86	-1041215648814
STPT(10)	812520349154369417	0 2 42 44 72 74 102 104 144 146	-1000899374724
TPT(14)	812520458220843221	0 2 48 50 90 92 120 122 126 128 150 152 246 248	-891832900920
STPT(10)	812520490174818167	0 2 30 32 42 44 54 56 84 86	-859878925974
SPT(16)	812520825546542881	0 16 46 52 70 82 88 108 130 150 156 168 186 192 222 238	-524507201260
STPT(10)	812521257446641007	0 2 42 44 72 74 102 104 144 146	-92607103134
TPT(14)	812521940224984601	0 2 6 8 96 98 108 110 126 128 138 140 216 218	590171240460
SPT(16)	812521978999678021	0 48 70 76 78 96 100 162 166 228 232 250 252 258 280 328	628945933880
STPT(10)	812522045026016861	0 2 6 8 48 50 90 92 96 98	694972272720
STPT(10)	812522233510772801	0 2 30 32 78 80 126 128 156 158	883457028660
STPT(10)	812522262088214939	0 2 48 50 60 62 72 74 120 122	912034470798