Prime p₀= 2743940656843931681 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 58 2 22 2 16 2 10 2 166 2 (?)
a_n: 0 2 6 8 66 68 90 92 108 110 120 122 288 290
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: 290
Found by: JayPi
db: batch=82, k=14, 4 58 22 16 10 166

SPT(13)	2743939850435954329	0 12 42 84 102 120 132 144 162 180 222 252 264	-806407977352
STPT(12)	2743939959874230959	0 2 48 50 78 80 132 134 162 164 210 212	-696969700722
SPT(16)	2743939987799132939	0 38 42 48 50 62 78 104 138 164 180 192 194 200 204 242	-669044798742
SPT(18)	2743940368121084029	0 52 72 88 100 172 252 318 394 438 514 580 660 732 744 760 780 832	-288722847652
STPT(10)	2743940571542318777	0 2 30 32 72 74 114 116 144 146	-85301612904
STPT(10)	2743940651121418277	0 2 12 14 42 44 72 74 84 86	-5722513404
STPT(10)	2743940965814937437	0 2 42 44 132 134 222 224 264 266	308971005756
SPT(16)	2743940995624923187	0 34 66 84 90 144 150 156 190 196 202 256 262 280 312 346	338780991506
SPT(16)	2743941015864107921	0 2 32 138 140 156 162 168 170 176 182 198 200 306 336 338	359020176240
SPT(16)	2743941299056847177	0 30 32 72 116 150 156 162 164 170 176 210 254 294 296 326	642212915496
STPT(10)	2743941352203481679	0 2 18 20 30 32 42 44 60 62	695359549998