Prime p₀= 2696973388434434897 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: Dirk Broer
db: batch=82, k=10, 2 58 2 10 2

SPT(16)	2696972538805968457	0 4 16 40 84 130 156 214 222 280 306 352 396 420 432 436	-849628466440
SPT(16)	2696972772940156531	0 6 16 22 28 46 78 88 90 100 132 150 156 162 172 178	-615494278366
STPT(10)	2696972811899746151	0 2 36 38 78 80 120 122 156 158	-576534688746
SPT(16)	2696972942127980531	0 56 156 168 176 182 200 210 278 288 306 312 320 332 432 488	-446306454366
STPT(10)	2696972961643622117	0 2 30 32 42 44 54 56 84 86	-426790812780
STPT(10)	2696973129149990237	0 2 30 32 42 44 54 56 84 86	-259284444660
TPT(16)	2696973420639966491	0 2 18 20 48 50 126 128 168 170 210 212 330 332 396 398	32205531594
STPT(10)	2696973433983454397	0 2 30 32 72 74 114 116 144 146	45549019500
SPT(16)	2696973753766360309	0 54 64 114 142 160 184 250 282 348 372 390 418 468 478 532	365331925412
STPT(10)	2696974087838719571	0 2 36 38 78 80 120 122 156 158	699404284674
STPT(10)	2696974180630581791	0 2 36 38 78 80 120 122 156 158	792196146894