Prime p₀= 1339888633398631409 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 16 2 58 2 10 2 34 2 40 2 (?)
a_n: 0 2 42 44 60 62 120 122 132 134 168 170 210 212
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: Skivelitis2
db: batch=77, k=14, 40 16 58 10 34 40

SPT(16)	1339887694022116373	0 8 14 18 54 66 68 80 264 276 278 290 326 330 336 344	-939376515036
STPT(10)	1339887740652874097	0 2 24 26 42 44 60 62 84 86	-892745757312
STPT(10)	1339887984830469647	0 2 42 44 72 74 102 104 144 146	-648568161762
SPT(16)	1339888045649361391	0 22 30 36 46 52 60 102 106 148 156 162 172 178 186 208	-587749270018
STPT(10)	1339888094156472137	0 2 54 56 132 134 210 212 264 266	-539242159272
STPT(10)	1339888546062068579	0 2 90 92 150 152 210 212 300 302	-87336562830
SPT(16)	1339888775173669429	0 10 48 60 88 90 148 150 172 174 232 234 262 274 312 322	141775038020
SPT(16)	1339888782372072619	0 10 42 108 112 142 162 208 264 310 330 360 364 430 462 472	148973441210
SPT(16)	1339888894358083889	0 74 78 80 140 152 162 180 182 200 210 222 282 284 288 362	260959452480
SPT(16)	1339888907064070471	0 6 12 36 66 70 76 148 180 252 258 262 292 316 322 328	273665439062
STPT(10)	1339889085626963699	0 2 42 44 60 62 78 80 120 122	452228332290