Prime p₀= 2120005016308436987 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 76 2 40 2 46 2 118 2 10 2 (?)
a_n: 0 2 42 44 120 122 162 164 210 212 330 332 342 344
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: 344
Found by: arkiss
db: batch=80, k=14, 40 76 40 46 118 10

SPT(16)	2120004292237911851	0 98 140 146 176 186 200 228 230 258 272 282 312 318 360 458	-724070525136
SPT(16)	2120004467294817209	0 14 30 38 54 72 134 164 168 198 260 278 294 302 318 332	-549013619778
STPT(10)	2120004710257376387	0 2 30 32 42 44 54 56 84 86	-306051060600
TPT(14)	2120004838928585591	0 2 6 8 48 50 108 110 138 140 168 170 306 308	-177379851396
SPT(16)	2120004866517858611	0 98 146 152 156 176 186 200 408 422 432 452 456 462 510 608	-149790578376
SPT(16)	2120004938116812511	0 6 36 70 90 118 150 186 202 238 270 298 318 352 382 388	-78191624476
STPT(10)	2120005139223974669	0 2 42 44 60 62 78 80 120 122	122915537682
SPT(16)	2120005447027949519	0 8 42 48 54 78 104 122 150 168 194 218 224 230 264 272	430719512532
SPT(16)	2120005604670267217	0 10 24 36 70 82 120 154 192 226 264 276 310 322 336 346	588361830230
SPT(16)	2120005683316759417	0 6 22 34 40 64 126 132 154 160 222 246 252 264 280 286	667008322430
SPT(16)	2120005908795085963	0 10 58 64 78 100 148 166 168 186 234 256 270 276 324 334	892486648976