Prime p₀= 820106602455695099 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 94 2 10 2 58 2 16 2 10 2 (?)
a_n: 0 2 42 44 138 140 150 152 210 212 228 230 240 242
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: 242
Found by: [SG]FX
db: batch=73, k=14, 40 94 10 58 16 10

SPT(18)	820105744109707907	0 14 24 42 62 74 96 134 146 180 192 230 252 264 284 302 312 326	-858345987192
SPT(16)	820105947365062081	0 70 76 96 120 138 148 162 166 180 190 208 232 252 258 328	-655090633018
SPT(16)	820106053250021399	0 14 60 140 162 168 222 254 318 350 404 410 432 512 558 572	-549205673700
SPT(16)	820106077540032047	0 30 36 42 146 182 186 200 216 230 234 270 374 380 386 416	-524915663052
TPT(14)	820106306360516051	0 2 30 32 60 62 120 122 126 128 198 200 288 290	-296095179048
STPT(10)	820106452614529901	0 2 6 8 18 20 30 32 36 38	-149841165198
SPT(16)	820106961668956847	0 12 84 86 120 152 224 246 260 282 354 386 420 422 494 506	359213261748
STPT(10)	820107227842082429	0 2 18 20 30 32 42 44 60 62	625386387330
SPT(16)	820107338736134783	0 6 8 78 90 188 200 210 224 234 246 344 356 426 428 434	736280439684
STPT(10)	820107398096700149	0 2 42 44 60 62 78 80 120 122	795641005050
TPT(14)	820107508295607821	0 2 18 20 78 80 90 92 156 158 168 170 240 242	905839912722