Prime p₀= 2130031539918061691 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Time_Traveler
db: batch=80, k=10, 2 4 2 10 2

SPT(16)	2130030726677175671	0 12 30 32 116 126 128 182 186 240 242 252 336 338 356 368	-813240886020
SPT(16)	2130031072811293789	0 12 22 64 90 114 124 174 238 288 298 322 348 390 400 412	-467106767902
SPT(16)	2130031095876887503	0 24 58 84 114 138 154 156 238 240 256 280 310 336 370 394	-444041174188
TPT(16)	2130031235763375377	0 2 12 14 42 44 102 104 252 254 264 266 354 356 420 422	-304154686314
SPT(16)	2130031368707427853	0 40 66 96 136 166 204 238 276 310 348 378 418 448 474 514	-171210633838
TPT(14)	2130031463467947857	0 2 30 32 54 56 72 74 234 236 240 242 252 254	-76450113834
STPT(10)	2130031705257662879	0 2 168 170 180 182 192 194 360 362	165339601188
SPT(16)	2130031928289898769	0 8 14 80 92 110 122 132 170 180 192 210 222 288 294 302	388371837078
SPT(16)	2130032284370048389	0 18 34 48 52 90 100 130 282 312 322 360 364 378 394 412	744451986698
STPT(10)	2130032345633690747	0 2 12 14 42 44 72 74 84 86	805715629056
SPT(16)	2130032442142892743	0 4 24 40 70 126 130 136 144 150 154 210 240 256 276 280	902224831052