Prime p₀= 1688334282197132417 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 136 2 58 2 22 2 58 2 76 2 (?)
a_n: 0 2 42 44 180 182 240 242 264 266 324 326 402 404
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: 404
Found by: conf [MM]
db: batch=79, k=14, 40 136 58 22 58 76

STPT(10)	1688333378835279677	0 2 12 14 72 74 132 134 144 146	-903361852740
SPT(16)	1688333523359022437	0 24 30 36 50 56 62 74 132 144 150 156 170 176 182 206	-758838109980
SPT(16)	1688333570942545609	0 24 52 82 90 108 112 118 144 150 154 172 180 210 238 262	-711254586808
STPT(10)	1688333676049777751	0 2 36 38 78 80 120 122 156 158	-606147354666
SPT(16)	1688334089290216831	0 42 60 102 112 196 246 276 292 322 372 456 466 508 526 568	-192906915586
SPT(16)	1688334196601811529	0 12 18 24 28 52 112 138 184 210 270 294 298 304 310 322	-85595320888
SPT(16)	1688334732677643637	0 54 66 94 112 126 132 144 202 214 220 234 252 280 292 346	450480511220
STPT(12)	1688334745230719189	0 2 30 32 60 62 102 104 132 134 162 164	463033586772
STPT(10)	1688334791604092627	0 2 30 32 72 74 114 116 144 146	509406960210
STPT(10)	1688335161114100361	0 2 30 32 78 80 126 128 156 158	878916967944
STPT(10)	1688335714010762891	0 2 6 8 48 50 90 92 96 98	1431813630474