Prime p₀= 1022739121434716447 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 40 2 46 2 10 2 94 2 22 2 (?)
a_n: 0 2 12 14 54 56 102 104 114 116 210 212 234 236
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: 236
Found by: stoneageman
db: batch=76, k=14, 10 40 46 10 94 22

STPT(12)	1022737622378328719	0 2 30 32 78 80 120 122 168 170 198 200	-1499056387728
TPT(14)	1022737715405712197	0 2 12 14 84 86 150 152 180 182 192 194 210 212	-1406029004250
STPT(10)	1022737840196240429	0 2 48 50 60 62 72 74 120 122	-1281238476018
SPT(16)	1022738106785566319	0 42 44 68 78 134 152 162 170 180 198 254 264 288 290 332	-1014649150128
STPT(10)	1022738353448506859	0 2 48 50 90 92 132 134 180 182	-767986209588
SPT(16)	1022738420984917697	0 60 92 104 110 152 242 260 264 282 372 414 420 432 464 524	-700449798750
SPT(16)	1022739219871519847	0 2 14 20 30 32 42 54 92 104 114 116 126 132 144 146	98436803400
SPT(16)	1022739293334608467	0 10 24 34 70 76 102 156 190 244 270 276 312 322 336 346	171899892020
SPT(16)	1022739529627857479	0 14 42 54 84 92 152 174 188 210 270 278 308 320 348 362	408193141032
SPT(16)	1022739541203081617	0 42 54 114 152 192 212 224 252 264 284 324 362 422 434 476	419768365170
SPT(16)	1022739680685218033	0 14 84 146 174 186 234 236 264 266 314 326 354 416 486 500	559250501586