Prime p₀= 2723073824290821497 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: JayPi
db: batch=82, k=10, 2 10 2 28 2

STPT(10)	2723071415969391587	0 2 90 92 102 104 114 116 204 206	-2408321429910
SPT(16)	2723071921977795737	0 20 200 216 230 240 264 284 306 326 350 360 374 390 570 590	-1902313025760
SPT(16)	2723072053500160333	0 28 34 54 66 76 90 166 168 244 258 268 280 300 306 334	-1770790661164
STPT(10)	2723072687068791677	0 2 42 44 72 74 102 104 144 146	-1137222029820
SPT(16)	2723073458591573741	0 38 78 108 168 176 288 302 306 320 432 440 500 530 570 608	-365699247756
STPT(10)	2723073684058454729	0 2 30 32 60 62 90 92 120 122	-140232366768
SPT(16)	2723074035155770031	0 2 8 30 42 68 72 120 128 176 180 206 218 240 246 248	210864948534
STPT(10)	2723074063980064229	0 2 78 80 180 182 282 284 360 362	239689242732
SPT(16)	2723074101424274561	0 6 12 32 56 60 110 116 126 132 182 186 210 230 236 242	277133453064
STPT(12)	2723074343503236971	0 2 6 8 78 80 138 140 210 212 216 218	519212415474
SPT(16)	2723074385755759667	0 20 32 60 92 146 156 162 170 176 186 240 272 300 312 332	561464938170