Prime p₀= 3022464867766454681 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 76 2 40 2 58 2 16 2 22 2 (?)
a_n: 0 2 18 20 96 98 138 140 198 200 216 218 240 242
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-FC] hl
db: batch=82, k=14, 16 76 40 58 16 22

STPT(10)	3022463840964418271	0 2 36 38 78 80 120 122 156 158	-1026802036410
STPT(10)	3022463924232191597	0 2 12 14 72 74 132 134 144 146	-943534263084
TPT(14)	3022463969796227387	0 2 12 14 72 74 90 92 114 116 144 146 294 296	-897970227294
SPT(16)	3022464212007738451	0 18 42 136 172 186 196 202 246 252 262 276 312 406 430 448	-655758716230
SPT(16)	3022464244292934907	0 6 12 42 60 90 120 130 156 166 196 226 244 274 280 286	-623473519774
TPT(14)	3022464776452567109	0 2 42 44 72 74 108 110 138 140 198 200 228 230	-91313887572
SPT(16)	3022465295982829897	0 76 82 84 120 222 232 246 250 264 274 376 412 414 420 496	428216375216
STPT(10)	3022465980290085149	0 2 18 20 30 32 42 44 60 62	1112523630468
STPT(10)	3022466027622077537	0 2 54 56 72 74 90 92 144 146	1159855622856
SPT(16)	3022466445281025739	0 34 150 162 184 190 198 210 232 244 252 258 280 292 408 442	1577514571058
STPT(10)	3022466502975464009	0 2 12 14 90 92 168 170 180 182	1635209009328