Prime p₀= 3006504192604523417 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 88 2 88 2 28 2 (?)
a_n: 0 2 30 32 120 122 210 212 240 242
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 242
Found by: MarkRBright
db: batch=82, k=10, 2 28 2 88 2

SPT(16)	3006503122655261431	0 42 102 118 138 160 168 178 210 220 228 250 270 286 346 388	-1069949261986
SPT(16)	3006503474710224989	0 2 12 54 90 110 122 170 192 240 252 272 308 350 360 362	-717894298428
STPT(10)	3006503686624075679	0 2 18 20 30 32 42 44 60 62	-505980447738
TPT(14)	3006503849253340517	0 2 54 56 72 74 102 104 180 182 210 212 222 224	-343351182900
SPT(16)	3006503920455671843	0 36 60 74 96 120 128 138 176 186 194 218 240 254 278 314	-272148851574
SPT(16)	3006503942854283629	0 18 42 90 112 162 238 268 372 402 478 528 550 598 622 640	-249750239788
SPT(16)	3006504680806564283	0 8 20 36 38 90 120 156 230 266 296 348 350 366 378 386	488202040866
SPT(16)	3006504700903145657	0 36 54 92 102 120 132 146 180 194 206 224 234 272 290 326	508298622240
SPT(16)	3006504984191104937	0 56 66 84 126 146 192 230 276 314 360 380 422 440 450 506	791586581520
TPT(14)	3006505874551262117	0 2 144 146 192 194 264 266 312 314 444 446 462 464	1681946738700
STPT(10)	3006506068003279739	0 2 18 20 30 32 42 44 60 62	1875398756322