Prime p₀= 2377965711788613629 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 22 2 4 2 10 2 10 2 58 2 (?)
a_n: 0 2 18 20 42 44 48 50 60 62 72 74 132 134
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: 134
Found by: [SG-2W]Kurzer
db: batch=81, k=14, 16 22 4 10 10 58

SPT(16)	2377964855555527159	0 34 48 52 70 88 108 124 138 154 174 192 210 214 228 262	-856233086470
SPT(16)	2377965075032355817	0 60 66 72 112 142 144 166 240 262 264 294 334 340 346 406	-636756257812
SPT(16)	2377965220772548531	0 12 48 102 130 132 166 192 196 222 256 258 286 340 376 388	-491016065098
SPT(16)	2377965453971991473	0 6 24 36 50 78 84 98 156 170 176 204 218 230 248 254	-257816622156
SPT(16)	2377965630004885787	0 6 84 104 110 140 146 164 216 234 240 270 276 296 374 380	-81783727842
SPT(16)	2377965705024594001	0 10 52 106 162 168 172 196 252 276 280 286 342 396 438 448	-6764019628
SPT(16)	2377965819682095457	0 36 40 66 84 114 136 162 184 210 232 262 280 306 310 346	107893481828
STPT(10)	2377966201548532409	0 2 42 44 90 92 138 140 180 182	489759918780
TPT(14)	2377966246881749339	0 2 180 182 210 212 270 272 420 422 522 524 552 554	535093135710
SPT(16)	2377967057776028681	0 6 30 50 110 152 176 180 212 216 240 282 342 362 386 392	1345987415052
SPT(16)	2377967119686862177	0 12 34 52 82 90 102 112 144 154 166 174 204 222 244 256	1407898248548