Prime p₀= 2658103682278716359 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 10 2 4 2 82 2 76 2 (?)
a_n: 0 2 18 20 30 32 42 44 48 50 132 134 210 212
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: 212
Found by: biodoc
db: batch=82, k=14, 16 10 10 4 82 76

SPT(16)	2658102748950511903	0 76 78 96 108 130 144 174 250 280 294 316 328 346 348 424	-933328204456
TPT(14)	2658102962930285051	0 2 30 32 60 62 126 128 240 242 360 362 366 368	-719348431308
SPT(18)	2658103043848767143	0 14 18 66 84 104 114 146 224 300 378 410 420 440 458 506 510 524	-638429949216
STPT(10)	2658103137815583707	0 2 12 14 72 74 132 134 144 146	-544463132652
STPT(10)	2658103393109880641	0 2 30 32 78 80 126 128 156 158	-289168835718
SPT(16)	2658103613790651239	0 30 38 68 72 80 98 120 182 204 222 230 234 264 272 302	-68488065120
STPT(10)	2658103804818149297	0 2 30 32 42 44 54 56 84 86	122539432938
SPT(16)	2658103884170704897	0 12 54 72 90 126 130 132 154 156 160 196 214 232 274 286	201891988538
SPT(16)	2658104062459179289	0 4 28 114 118 132 154 184 198 228 250 264 268 354 378 382	380180462930
STPT(10)	2658104188376646719	0 2 48 50 90 92 132 134 180 182	506097930360
SPT(16)	2658104261337500593	0 94 144 150 220 228 256 274 360 378 406 414 484 490 540 634	579058784234