Prime p₀= 3006505874551262117 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 142 2 46 2 70 2 46 2 130 2 16 2 (?)
a_n: 0 2 144 146 192 194 264 266 312 314 444 446 462 464
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: 464
Found by: MarkRBright
db: batch=82, k=14, 142 46 70 46 130 16

SPT(16)	3006503920455671843	0 36 60 74 96 120 128 138 176 186 194 218 240 254 278 314	-1954095590274
SPT(16)	3006503942854283629	0 18 42 90 112 162 238 268 372 402 478 528 550 598 622 640	-1931696978488
STPT(10)	3006504192604523417	0 2 30 32 120 122 210 212 240 242	-1681946738700
SPT(16)	3006504680806564283	0 8 20 36 38 90 120 156 230 266 296 348 350 366 378 386	-1193744697834
SPT(16)	3006504700903145657	0 36 54 92 102 120 132 146 180 194 206 224 234 272 290 326	-1173648116460
SPT(16)	3006504984191104937	0 56 66 84 126 146 192 230 276 314 360 380 422 440 450 506	-890360157180
STPT(10)	3006506068003279739	0 2 18 20 30 32 42 44 60 62	193452017622
TPT(14)	3006506171135174777	0 2 102 104 234 236 312 314 390 392 432 434 450 452	296583912660
SPT(16)	3006506905636624763	0 6 8 14 36 38 50 74 90 114 126 128 150 156 158 164	1031085362646
SPT(16)	3006506912532383201	0 2 50 56 78 116 140 182 216 258 282 320 342 348 396 398	1037981121084
SPT(16)	3006507010105124819	0 14 38 62 98 104 164 170 192 198 258 264 300 324 348 362	1135553862702