Prime p₀= 2350004506140063959 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: suriv
db: batch=81, k=10, 2 16 2 10 2

SPT(13)	2350003176521031487	0 66 96 120 150 162 186 210 222 252 276 306 372	-1329619032472
SPT(16)	2350003358239216949	0 68 78 104 114 198 210 240 278 308 320 404 414 440 450 518	-1147900847010
STPT(10)	2350003902062895341	0 2 6 8 48 50 90 92 96 98	-604077168618
SPT(16)	2350004155953349339	0 12 28 34 54 70 78 90 112 124 132 148 168 174 190 202	-350186714620
SPT(16)	2350004172577593277	0 4 12 30 40 42 64 82 102 120 142 144 154 172 180 184	-333562470682
STPT(10)	2350004323623656459	0 2 42 44 90 92 138 140 180 182	-182516407500
SPT(16)	2350004594855987989	0 12 34 40 82 142 162 204 238 280 300 360 402 408 430 442	88715924030
SPT(16)	2350004723485235119	0 52 58 150 168 174 270 294 328 352 448 454 472 564 570 622	217345171160
STPT(10)	2350004741971788227	0 2 30 32 42 44 54 56 84 86	235831724268
SPT(16)	2350005271830586789	0 18 24 42 52 58 84 100 102 118 144 150 160 178 184 202	765690522830
STPT(12)	2350005372613427297	0 2 30 32 42 44 72 74 84 86 114 116	866473363338