Prime p₀= 1069483965413642321 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 106 2 82 2 64 2 88 2 22 2 (?)
a_n: 0 2 48 50 156 158 240 242 306 308 396 398 420 422
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: 422
Found by: stoneageman
db: batch=76, k=14, 46 106 82 64 88 22

SPT(16)	1069482827402483707	0 30 64 72 94 204 232 234 250 252 280 390 412 420 454 484	-1138011158614
STPT(12)	1069483051177473299	0 2 12 14 42 44 48 50 78 80 90 92	-914236169022
TPT(14)	1069483088493899237	0 2 30 32 42 44 174 176 240 242 354 356 450 452	-876919743084
STPT(10)	1069483496593164407	0 2 60 62 72 74 84 86 144 146	-468820477914
SPT(16)	1069483559816674339	0 28 30 52 54 72 112 120 142 150 190 208 210 232 234 262	-405596967982
SPT(16)	1069483563910363153	0 10 24 34 54 66 90 136 294 340 364 376 396 406 420 430	-401503279168
TPT(14)	1069484003147481797	0 2 12 14 54 56 120 122 204 206 210 212 282 284	37733839476
STPT(10)	1069484226950094227	0 2 30 32 42 44 54 56 84 86	261536451906
SPT(16)	1069484810541207547	0 4 6 100 126 154 174 196 204 226 246 274 300 394 396 400	845127565226
SPT(18)	1069485001991535629	0 8 14 42 44 62 110 122 132 170 180 192 240 258 260 288 294 302	1036577893308
SPT(16)	1069485393406703257	0 24 52 66 96 124 132 166 300 334 342 370 400 414 442 466	1427993060936