Prime p₀= 797322165062438831 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 64 2 40 2 28 2 40 2 16 2 (?)
a_n: 0 2 30 32 96 98 138 140 168 170 210 212 228 230
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: 230
Found by: eeeeee
db: batch=73, k=14, 28 64 40 28 40 16

STPT(10)	797321011690334057	0 2 90 92 132 134 174 176 264 266	-1153372104774
STPT(10)	797321096811316289	0 2 42 44 60 62 78 80 120 122	-1068251122542
SPT(16)	797321480324999671	0 16 40 42 70 82 118 126 142 150 186 198 226 228 252 268	-684737439160
SPT(13)	797321705132901779	0 42 78 138 180 210 270 330 360 402 462 498 540	-459929537052
SPT(16)	797322088660977349	0 28 72 94 108 114 208 240 292 324 418 424 438 460 504 532	-76401461482
SPT(16)	797322091194427979	0 14 24 32 48 110 140 164 168 192 222 284 300 308 318 332	-73868010852
SPT(16)	797322558473555603	0 24 60 68 74 86 90 108 146 164 168 180 186 194 230 254	393411116772
STPT(10)	797322718097173517	0 2 12 14 42 44 72 74 84 86	553034734686
SPT(16)	797323019726969083	0 10 60 84 88 124 126 130 144 148 150 186 190 214 264 274	854664530252
STPT(10)	797323032312408359	0 2 18 20 30 32 42 44 60 62	867249969528
SPT(16)	797323374164821139	0 48 108 114 132 152 168 180 242 254 270 290 308 314 374 422	1209102382308