Prime p₀= 740438022991413629 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 106 2 10 2 28 2 40 2 16 2 136 2 (?)
a_n: 0 2 108 110 120 122 150 152 192 194 210 212 348 350
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: 350
Found by: Theadalus
db: batch=73, k=14, 106 10 28 40 16 136

SPT(16)	740437009209064931	0 30 32 38 60 78 152 158 162 168 242 260 282 288 290 320	-1013782348698
SPT(16)	740437062638094091	0 30 36 72 76 96 100 106 132 138 142 162 166 202 208 238	-960353319538
STPT(10)	740437361586415187	0 2 30 32 60 62 90 92 120 122	-661404998442
SPT(16)	740437642646868289	0 18 70 82 100 120 144 162 190 208 232 252 270 282 334 352	-380344545340
STPT(10)	740438009868768257	0 2 54 56 72 74 90 92 144 146	-13122645372
STPT(10)	740438017737987617	0 2 42 44 72 74 102 104 144 146	-5253426012
SPT(16)	740438236273837459	0 28 40 42 130 138 168 220 222 274 304 312 400 402 414 442	213282423830
SPT(16)	740438527909769537	0 56 120 122 134 140 210 234 242 266 336 342 354 356 420 476	504918355908
STPT(10)	740438548371464771	0 2 6 8 48 50 90 92 96 98	525380051142
STPT(10)	740438701337704337	0 2 90 92 150 152 210 212 300 302	678346290708
TPT(14)	740438776964116169	0 2 42 44 60 62 198 200 252 254 258 260 330 332	753972702540