Prime p₀= 2306669309412369017 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Landjunge
db: batch=81, k=10, 2 28 2 10 2

SPT(18)	2306667355201440919	0 18 22 30 42 78 100 112 168 172 228 240 262 298 310 318 322 340	-1954210928098
STPT(10)	2306667641842484069	0 2 78 80 120 122 162 164 240 242	-1667569884948
STPT(10)	2306667801984816239	0 2 12 14 30 32 48 50 60 62	-1507427552778
SPT(16)	2306668339952268871	0 12 28 40 46 52 82 88 90 96 126 132 138 150 166 178	-969460100146
SPT(16)	2306668468517966407	0 24 64 112 114 184 232 246 310 324 372 442 444 492 532 556	-840894402610
SPT(16)	2306668473651422189	0 2 14 72 92 152 162 194 378 410 420 480 500 558 570 572	-835760946828
SPT(16)	2306669720326411591	0 76 82 90 132 166 186 232 270 316 336 370 412 420 426 502	410914042574
STPT(10)	2306669909395718327	0 2 24 26 42 44 60 62 84 86	599983349310
SPT(16)	2306670155692188907	0 36 46 70 76 102 112 124 132 144 154 180 186 210 220 256	846279819890
TPT(14)	2306670330258796529	0 2 18 20 42 44 60 62 102 104 210 212 282 284	1020846427512
STPT(10)	2306670346316657777	0 2 30 32 42 44 54 56 84 86	1036904288760