Prime p₀= 1019823520829459807 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: stoneageman
db: batch=76, k=10, 2 22 2 16 2

SPT(16)	1019821897030174493	0 14 24 54 56 98 120 126 188 194 216 258 260 290 300 314	-1623799285314
STPT(10)	1019821924600927067	0 2 42 44 72 74 102 104 144 146	-1596228532740
SPT(16)	1019822007182935727	0 42 56 60 86 102 116 182 210 276 290 306 332 336 350 392	-1513646524080
SPT(16)	1019822207127419051	0 38 48 80 110 116 140 152 186 198 222 228 258 290 300 338	-1313702040756
STPT(10)	1019822430281187287	0 2 42 44 72 74 102 104 144 146	-1090548272520
STPT(10)	1019823507007348187	0 2 60 62 72 74 84 86 144 146	-13822111620
STPT(10)	1019824597215306497	0 2 24 26 42 44 60 62 84 86	1076385846690
STPT(10)	1019825245968713531	0 2 6 8 48 50 90 92 96 98	1725139253724
STPT(10)	1019825453234901491	0 2 6 8 48 50 90 92 96 98	1932405441684
SPT(16)	1019826045119685887	0 24 32 56 62 84 96 116 180 200 212 234 240 264 272 296	2524290226080
STPT(10)	1019826499872271919	0 2 18 20 60 62 102 104 120 122	2979042812112