Prime p₀= 1958828728135220969 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: kashi
db: batch=80, k=10, 2 16 2 10 2

SPT(16)	1958827918667750051	0 8 48 60 62 78 138 150 218 230 290 306 308 320 360 368	-809467470918
STPT(10)	1958827960320758627	0 2 42 44 72 74 102 104 144 146	-767814462342
SPT(16)	1958828272411960199	0 24 50 68 74 144 210 224 288 302 368 438 444 462 488 512	-455723260770
STPT(10)	1958828412398067011	0 2 6 8 48 50 90 92 96 98	-315737153958
SPT(16)	1958828683337618759	0 44 104 128 150 164 170 198 200 228 234 248 270 294 354 398	-44797602210
TPT(14)	1958828720806207847	0 2 42 44 60 62 84 86 282 284 312 314 354 356	-7329013122
TPT(14)	1958828793779647289	0 2 42 44 78 80 132 134 210 212 258 260 300 302	65644426320
STPT(10)	1958828814545225759	0 2 42 44 90 92 138 140 180 182	86410004790
SPT(16)	1958829055406513861	0 30 42 48 60 90 102 152 246 296 308 338 350 356 368 398	327271292892
SPT(16)	1958829410430094019	0 32 38 48 72 74 80 98 114 132 138 140 164 174 180 212	682294873050
STPT(10)	1958829536688890219	0 2 12 14 90 92 168 170 180 182	808553669250