Prime p₀= 2667526912640376359 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 136 2 28 2 40 2 28 2 94 2 (?)
a_n: 0 2 72 74 210 212 240 242 282 284 312 314 408 410
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: 410
Found by: [SG-FC] hl
db: batch=82, k=14, 70 136 28 40 28 94

STPT(10)	2667525377992698869	0 2 48 50 60 62 72 74 120 122	-1534647677490
STPT(10)	2667525664826477069	0 2 18 20 30 32 42 44 60 62	-1247813899290
STPT(10)	2667525842004073649	0 2 18 20 30 32 42 44 60 62	-1070636302710
TPT(14)	2667526161789959291	0 2 6 8 48 50 66 68 96 98 150 152 180 182	-750850417068
SPT(16)	2667526375546818859	0 30 40 72 90 132 150 192 250 292 310 352 370 402 412 442	-537093557500
SPT(16)	2667526504642129763	0 78 80 98 110 120 140 224 234 318 338 348 360 378 380 458	-407998246596
SPT(16)	2667527295007176839	0 68 80 98 110 138 158 164 168 174 194 222 234 252 264 332	382366800480
SPT(16)	2667527570025268109	0 12 18 42 60 78 134 150 152 168 224 242 260 284 290 302	657384891750
SPT(16)	2667527580348802931	0 26 42 62 86 90 110 116 126 132 152 156 180 200 216 242	667708426572
SPT(16)	2667527658346128001	0 12 22 28 90 142 156 160 168 172 186 238 300 306 316 328	745705751642
SPT(16)	2667528027497570551	0 12 18 40 58 70 72 108 160 196 198 210 228 250 256 268	1114857194192