Prime p₀= 822623137060068959 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 58 2 34 2 52 2 76 2 118 2 (?)
a_n: 0 2 42 44 102 104 138 140 192 194 270 272 390 392
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: 392
Found by: schoussi
db: batch=73, k=14, 40 58 34 52 76 118

SPT(16)	822621532631466781	0 10 12 16 42 72 76 90 118 132 136 166 192 196 198 208	-1604428602178
SPT(16)	822621679852293533	0 24 56 60 108 116 188 200 234 246 318 326 374 378 410 434	-1457207775426
SPT(16)	822621759510713159	0 12 50 62 90 98 110 134 138 162 174 182 210 222 260 272	-1377549355800
TPT(14)	822622309637548109	0 2 18 20 30 32 72 74 132 134 258 260 282 284	-827422520850
SPT(16)	822622566129003371	0 12 50 86 102 186 210 240 242 272 296 380 396 432 470 482	-570931065588
STPT(10)	822622624756789061	0 2 6 8 18 20 30 32 36 38	-512303279898
STPT(10)	822623574757917587	0 2 54 56 72 74 90 92 144 146	437697848628
SPT(16)	822623593034881037	0 2 14 50 66 80 96 114 122 140 156 170 186 222 234 236	455974812078
STPT(10)	822623661269315987	0 2 42 44 72 74 102 104 144 146	524209247028
STPT(12)	822623769354368549	0 2 12 14 162 164 168 170 318 320 330 332	632294299590
SPT(16)	822624182597066351	0 50 60 140 150 168 188 206 270 288 308 326 336 416 426 476	1045536997392