Prime p₀= 1006786820845438811 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 88 2 88 2 76 2 (?)
a_n: 0 2 78 80 168 170 258 260 336 338
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: 338
Found by: Theadalus
db: batch=76, k=10, 2 76 2 88 2

STPT(10)	1006785078215431817	0 2 30 32 42 44 54 56 84 86	-1742630006994
STPT(10)	1006785627662764907	0 2 12 14 42 44 72 74 84 86	-1193182673904
STPT(10)	1006785721134780281	0 2 36 38 78 80 120 122 156 158	-1099710658530
STPT(10)	1006786217630053871	0 2 6 8 48 50 90 92 96 98	-603215384940
SPT(16)	1006786267258958629	0 28 42 58 60 78 88 100 132 144 154 172 174 190 204 232	-553586480182
STPT(10)	1006786813835122181	0 2 36 38 78 80 120 122 156 158	-7010316630
SPT(16)	1006787187297792539	0 2 8 42 114 122 158 162 170 174 210 218 290 324 330 332	366452353728
SPT(16)	1006787800656817381	0 12 16 102 112 126 130 142 180 192 196 210 220 306 310 322	979811378570
SPT(16)	1006787833033774993	0 60 76 90 106 168 174 178 186 190 196 258 274 288 304 364	1012188336182
SPT(16)	1006787921193167513	0 26 30 56 60 66 98 108 158 168 200 206 210 236 240 266	1100347728702
SPT(16)	1006788151500370817	0 12 54 84 102 114 194 210 296 312 392 404 422 452 494 506	1330654932006