Prime p₀= 814963521749330879 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 16 2 28 2 40 2 64 2 112 2 (?)
a_n: 0 2 72 74 90 92 120 122 162 164 228 230 342 344
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: 344
Found by: scrap
db: batch=73, k=14, 70 16 28 40 64 112

STPT(10)	814962716302484831	0 2 6 8 48 50 90 92 96 98	-805446846048
SPT(16)	814962716488493123	0 26 38 50 78 84 116 134 150 168 200 206 234 246 258 284	-805260837756
SPT(16)	814962778621846957	0 4 12 34 42 64 70 90 196 216 222 244 252 274 282 286	-743127483922
SPT(16)	814962944709709981	0 6 22 42 48 76 96 118 120 142 162 190 196 216 232 238	-577039620898
STPT(10)	814963061238651509	0 2 30 32 60 62 90 92 120 122	-460510679370
SPT(16)	814963271981707117	0 12 36 42 54 76 112 120 166 174 210 232 244 250 274 286	-249767623762
SPT(20)	814964150473106339	0 32 38 80 122 132 138 168 170 180 200 210 212 242 248 258 300 342 348 380	628723775460
SPT(16)	814964173439297971	0 18 90 96 126 130 138 180 196 238 246 250 280 286 358 376	651689967092
SPT(16)	814964589784627423	0 30 64 108 124 148 168 190 198 220 240 264 280 324 358 388	1068035296544
TPT(14)	814964739156525281	0 2 30 32 186 188 216 218 288 290 396 398 408 410	1217407194402
STPT(10)	814965021633490667	0 2 30 32 60 62 90 92 120 122	1499884159788