Prime p₀= 796341378446463527 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: 146
Found by: [SG]FX
db: batch=73, k=10, 2 58 2 10 2

STPT(12)	796339626445437209	0 2 48 50 78 80 90 92 120 122 168 170	-1752001026318
STPT(10)	796339654027679297	0 2 30 32 42 44 54 56 84 86	-1724418784230
STPT(10)	796339924872323471	0 2 6 8 48 50 90 92 96 98	-1453574140056
SPT(18)	796340123190075367	0 22 36 40 54 66 126 142 172 204 234 250 310 322 336 340 354 376	-1255256388160
STPT(10)	796340884248954617	0 2 42 44 72 74 102 104 144 146	-494197508910
STPT(10)	796341210645226061	0 2 6 8 48 50 90 92 96 98	-167801237466
SPT(16)	796341423884085379	0 10 24 34 42 70 112 174 178 240 282 310 318 328 342 352	45437621852
STPT(10)	796341772757241251	0 2 30 32 78 80 126 128 156 158	394310777724
SPT(16)	796342067301972473	0 14 18 20 38 60 78 80 84 86 104 126 144 146 150 164	688855508946
SPT(16)	796342103476581031	0 42 112 196 216 220 226 310 318 402 408 412 432 516 586 628	725030117504
SPT(16)	796342469100123391	0 78 150 162 190 202 220 238 300 318 336 348 376 388 460 538	1090653659864