Prime p₀= 3010827862733951651 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 106 2 70 2 4 2 52 2 34 2 40 2 (?)
a_n: 0 2 108 110 180 182 186 188 240 242 276 278 318 320
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: 320
Found by: JayPi
db: batch=82, k=14, 106 70 4 52 34 40

SPT(16)	3010825750126545317	0 2 36 50 96 116 176 180 182 186 246 266 312 326 360 362	-2112607406334
SPT(16)	3010826648695546321	0 28 42 70 78 112 172 180 190 198 258 292 300 328 342 370	-1214038405330
SPT(16)	3010826765708723477	0 24 60 84 92 104 126 162 164 200 222 234 242 266 302 326	-1097025228174
STPT(10)	3010826794016706617	0 2 30 32 42 44 54 56 84 86	-1068717245034
SPT(16)	3010827175121761663	0 24 64 76 78 90 100 126 148 174 184 196 198 210 250 274	-687612189988
SPT(16)	3010827723551852227	0 34 60 64 106 156 162 202 324 364 370 420 462 466 492 526	-139182099424
SPT(16)	3010828723636594829	0 20 68 92 108 134 152 168 314 330 348 374 390 414 462 482	860902643178
SPT(16)	3010828860502507417	0 10 24 94 102 142 150 162 184 196 204 244 252 322 336 346	997768555766
STPT(10)	3010829494506711497	0 2 42 44 72 74 102 104 144 146	1631772759846
STPT(10)	3010829531289722081	0 2 36 38 78 80 120 122 156 158	1668555770430
STPT(10)	3010829539730510357	0 2 30 32 72 74 114 116 144 146	1676996558706