Prime p₀= 2697180292683132251 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 40 2 28 2 148 2 16 2 40 2 (?)
a_n: 0 2 6 8 48 50 78 80 228 230 246 248 288 290
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: 290
Found by: [SG-FC] hl
db: batch=82, k=14, 4 40 28 148 16 40

SPT(16)	2697179441767050259	0 24 28 42 54 204 208 210 412 414 418 568 580 594 598 622	-850916081992
SPT(16)	2697179473245497627	0 6 24 36 56 60 66 104 162 200 206 210 230 242 260 266	-819437634624
SPT(16)	2697179488494605599	0 30 60 78 94 108 144 154 234 244 280 294 310 328 358 388	-804188526652
STPT(10)	2697179705082257147	0 2 30 32 42 44 54 56 84 86	-587600875104
SPT(16)	2697179799327229303	0 124 136 138 156 174 204 226 258 280 310 328 346 348 360 484	-493355902948
SPT(16)	2697180097759768667	0 14 74 140 204 224 230 252 272 294 300 320 384 450 510 524	-194923363584
TPT(16)	2697180321350176271	0 2 30 32 78 80 150 152 306 308 330 332 348 350 420 422	28667044020
STPT(10)	2697180362404764317	0 2 42 44 72 74 102 104 144 146	69721632066
SPT(16)	2697181273318241221	0 36 40 42 46 52 58 100 108 150 156 162 166 168 172 208	980635108970
SPT(13)	2697181345671503021	0 6 36 60 78 90 168 246 258 276 300 330 336	1052988370770
SPT(16)	2697181379837930707	0 30 82 94 96 106 142 144 232 234 270 280 282 294 346 376	1087154798456