Prime p₀= 2944667569175001077 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 28 2 10 2 28 2 28 2 34 2 (?)
a_n: 0 2 72 74 102 104 114 116 144 146 174 176 210 212
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: 212
Found by: [SG-FC] hl
db: batch=82, k=14, 70 28 10 28 28 34

TPT(14)	2944666575612756557	0 2 12 14 54 56 90 92 120 122 222 224 234 236	-993562244520
TPT(14)	2944666749071814467	0 2 42 44 114 116 120 122 150 152 192 194 252 254	-820103186610
SPT(16)	2944666971333972727	0 12 16 22 24 30 76 82 234 240 286 292 294 300 304 316	-597841028350
SPT(16)	2944666997005652993	0 20 44 48 54 84 98 110 114 126 140 170 176 180 204 224	-572169348084
SPT(16)	2944667133795119167	0 30 52 54 102 144 172 186 220 234 262 304 352 354 376 406	-435379881910
SPT(18)	2944667426526679583	0 38 86 126 146 156 174 176 188 276 288 290 308 318 338 378 426 464	-142648321494
SPT(16)	2944667621656551607	0 24 60 64 70 76 102 112 144 154 180 186 192 196 232 256	52481550530
SPT(16)	2944667655053723279	0 18 42 48 50 102 128 150 182 204 230 282 284 290 314 332	85878722202
STPT(10)	2944667946302151779	0 2 48 50 90 92 132 134 180 182	377127150702
SPT(16)	2944668752526204943	0 66 108 126 156 196 238 250 306 318 360 400 430 448 490 556	1183351203866
STPT(10)	2944668820819954727	0 2 30 32 72 74 114 116 144 146	1251644953650