Prime p₀= 2829547363305024119 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 10 2 58 2 76 2 28 2 28 2 (?)
a_n: 0 2 90 92 102 104 162 164 240 242 270 272 300 302
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: 302
Found by: JayPi
db: batch=82, k=14, 88 10 58 76 28 28

TPT(14)	2829545759410521167	0 2 30 32 42 44 84 86 90 92 144 146 162 164	-1603894502952
SPT(16)	2829545846777542271	0 2 8 12 38 42 68 150 170 252 278 282 308 312 318 320	-1516527481848
STPT(10)	2829546428170632347	0 2 60 62 72 74 84 86 144 146	-935134391772
SPT(16)	2829546714230690263	0 10 24 34 54 78 108 124 174 190 220 244 264 274 288 298	-649074333856
SPT(18)	2829546736324661807	0 44 62 116 146 200 242 270 282 284 296 324 366 420 450 504 522 566	-626980362312
TPT(14)	2829547279315578509	0 2 30 32 48 50 162 164 210 212 252 254 282 284	-83989445610
SPT(13)	2829547574590668427	0 12 42 66 72 156 216 276 360 366 390 420 432	211285644308
TPT(14)	2829548675129117657	0 2 144 146 312 314 330 332 354 356 414 416 420 422	1311824093538
STPT(10)	2829549580048400327	0 2 24 26 42 44 60 62 84 86	2216743376208
SPT(16)	2829549984510360931	0 28 36 46 70 78 96 112 156 172 190 198 222 232 240 268	2621205336812
SPT(16)	2829550539519022933	0 34 54 60 96 106 118 130 204 216 228 238 274 280 300 334	3176213998814