Prime p₀= 2422297487111674979 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 118 2 76 2 40 2 70 2 16 2 10 2 (?)
a_n: 0 2 120 122 198 200 240 242 312 314 330 332 342 344
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: [SG-FC] hl
db: batch=82, k=14, 118 76 40 70 16 10

TPT(14)	2422296313209522767	0 2 12 14 90 92 120 122 132 134 162 164 222 224	-1173902152212
STPT(10)	2422296407572584251	0 2 36 38 78 80 120 122 156 158	-1079539090728
SPT(16)	2422296453063417467	0 14 20 32 56 62 102 120 206 224 264 270 294 306 312 326	-1034048257512
SPT(16)	2422296991056169813	0 34 40 70 88 150 154 160 264 270 274 336 354 384 390 424	-496055505166
TPT(14)	2422296995984990051	0 2 48 50 96 98 168 170 198 200 228 230 270 272	-491126684928
SPT(16)	2422297139130708757	0 52 64 66 126 142 144 154 222 232 234 250 310 312 324 376	-347980966222
SPT(16)	2422297502264253197	0 6 20 30 44 104 122 126 260 264 282 342 356 366 380 386	15152578218
SPT(16)	2422297536225432149	0 44 48 72 98 114 128 140 162 174 188 204 230 254 258 302	49113757170
STPT(10)	2422297887242031257	0 2 30 32 42 44 54 56 84 86	400130356278
SPT(16)	2422298048532174581	0 30 32 42 60 86 168 182 216 230 312 338 356 366 368 398	561420499602
STPT(10)	2422298462996249807	0 2 12 14 72 74 132 134 144 146	975884574828