Prime p₀= 2776059606722128451 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 10 2 10 2 106 2 16 2 10 2 (?)
a_n: 0 2 6 8 18 20 30 32 138 140 156 158 168 170
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: 170
Found by: JayPi
db: batch=82, k=14, 4 10 10 106 16 10

SPT(16)	2776058842880520629	0 18 48 80 110 120 144 180 188 224 248 258 288 320 350 368	-763841607822
STPT(10)	2776059284129899907	0 2 12 14 42 44 72 74 84 86	-322592228544
TPT(14)	2776059375903750059	0 2 60 62 90 92 102 104 138 140 168 170 210 212	-230818378392
SPT(18)	2776059456397413091	0 10 22 28 36 66 76 136 148 180 192 252 262 292 300 306 318 328	-150324715360
SPT(16)	2776059484646845223	0 14 30 54 56 74 80 84 140 144 150 168 170 194 210 224	-122075283228
SPT(16)	2776059529950826919	0 18 20 24 44 50 78 98 150 170 198 204 224 228 230 248	-76771301532
SPT(16)	2776059666231941051	0 2 36 62 92 132 138 188 210 260 266 306 336 362 396 398	59509812600
SPT(16)	2776060061699071127	0 12 14 32 80 120 126 182 264 320 326 366 414 432 434 446	454976942676
STPT(12)	2776060077472913807	0 2 30 32 42 44 132 134 144 146 174 176	470750785356
TPT(14)	2776060090903192739	0 2 18 20 72 74 120 122 162 164 228 230 240 242	484181064288
SPT(16)	2776060290811803937	0 34 36 60 76 96 130 142 144 156 190 210 226 250 252 286	684089675486