Prime p₀= 2616867103753709267 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 40 2 88 2 28 2 58 2 10 2 (?)
a_n: 0 2 60 62 102 104 192 194 222 224 282 284 294 296
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: 296
Found by: RFGuy_KCCO
db: batch=82, k=14, 58 40 88 28 58 10

TPT(14)	2616865378042329647	0 2 60 62 102 104 204 206 210 212 270 272 342 344	-1725711379620
STPT(10)	2616865420877839847	0 2 42 44 72 74 102 104 144 146	-1682875869420
STPT(10)	2616865524162456767	0 2 54 56 72 74 90 92 144 146	-1579591252500
SPT(16)	2616865557533978143	0 16 18 54 136 184 250 268 276 294 360 408 490 526 528 544	-1546219731124
STPT(10)	2616866937094501919	0 2 42 44 60 62 78 80 120 122	-166659207348
SPT(16)	2616867093569593409	0 2 20 24 80 90 102 132 290 320 332 342 398 402 420 422	-10184115858
SPT(16)	2616867209355432989	0 2 48 54 72 98 120 134 138 152 174 200 218 224 270 272	105601723722
SPT(16)	2616867269261083511	0 2 30 50 80 116 158 182 186 210 252 288 318 338 366 368	165507374244
SPT(16)	2616867463247204767	0 10 12 22 70 84 94 112 144 162 172 186 234 244 246 256	359493495500
STPT(10)	2616867726304937837	0 2 30 32 42 44 54 56 84 86	622551228570
SPT(16)	2616867906493294249	0 42 82 102 108 118 154 178 204 228 264 274 280 300 340 382	802739584982