Prime p₀= 798071526091609709 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 100 2 46 2 70 2 10 2 34 2 (?)
a_n: 0 2 18 20 120 122 168 170 240 242 252 254 288 290
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: 290
Found by: [SG-2W]Kurzer
db: batch=73, k=14, 16 100 46 70 10 34

SPT(16)	798070281853556603	0 48 78 108 134 140 216 254 300 338 414 420 446 476 506 554	-1244238053106
SPT(16)	798070779529678163	0 6 14 36 38 80 90 108 116 134 144 186 188 210 218 224	-746561931546
STPT(10)	798070829283764117	0 2 54 56 72 74 90 92 144 146	-696807845592
SPT(16)	798071367328335299	0 62 68 90 92 108 110 140 162 192 194 210 212 234 240 302	-158763274410
SPT(16)	798071375861397889	0 54 82 102 138 160 168 172 180 184 192 214 250 270 298 352	-150230211820
STPT(10)	798071455787906099	0 2 48 50 60 62 72 74 120 122	-70303703610
SPT(16)	798071825174432087	0 14 44 96 102 110 122 126 140 144 156 164 170 222 252 266	299082822378
STPT(10)	798071959275222341	0 2 6 8 108 110 210 212 216 218	433183612632
SPT(16)	798072060449584969	0 12 42 58 100 138 202 208 252 258 322 360 402 418 448 460	534357975260
STPT(10)	798072437675638427	0 2 30 32 42 44 54 56 84 86	911584028718
TPT(14)	798072530228209931	0 2 30 32 36 38 90 92 120 122 156 158 168 170	1004136600222