Prime p₀= 2922844688322408779 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 52 2 76 2 28 2 16 2 22 2 (?)
a_n: 0 2 18 20 72 74 150 152 180 182 198 200 222 224
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: 224
Found by: Landjunge
db: batch=82, k=14, 16 52 76 28 16 22

SPT(16)	2922843768751792433	0 8 48 60 80 104 120 146 228 254 270 294 314 326 366 374	-919570616346
TPT(14)	2922843793303849139	0 2 18 20 30 32 132 134 138 140 258 260 270 272	-895018559640
SPT(16)	2922844215004013477	0 24 36 50 72 86 92 134 192 234 240 254 276 290 302 326	-473318395302
SPT(16)	2922844300800487447	0 30 52 72 76 82 132 174 202 244 294 300 304 324 346 376	-387521921332
SPT(13)	2922844400566173169	0 30 60 78 84 108 114 120 144 150 168 198 228	-287756235610
STPT(10)	2922844579455299087	0 2 30 32 42 44 54 56 84 86	-108867109692
STPT(10)	2922844756527104621	0 2 36 38 78 80 120 122 156 158	68204695842
STPT(10)	2922844832422725179	0 2 12 14 30 32 48 50 60 62	144100316400
STPT(10)	2922845101219460699	0 2 18 20 60 62 102 104 120 122	412897051920
SPT(16)	2922845126421317063	0 24 50 68 98 126 170 180 224 234 278 306 336 354 380 404	438098908284
SPT(16)	2922845152316666399	0 8 32 60 120 162 170 182 198 210 218 260 320 348 372 380	463994257620