Prime p₀= 2581311026810907299 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: JayPi
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2581308720523242041	0 8 50 56 80 140 146 168 170 192 198 258 282 288 330 338	-2306287665258
TPT(14)	2581308840077527289	0 2 42 44 78 80 90 92 120 122 162 164 168 170	-2186733380010
SPT(16)	2581308921142092821	0 32 66 78 108 140 176 182 186 192 228 260 290 302 336 368	-2105668814478
STPT(12)	2581308937361133011	0 2 30 32 60 62 240 242 270 272 300 302	-2089449774288
SPT(16)	2581309243472618881	0 48 60 78 132 190 192 216 232 256 258 316 370 388 400 448	-1783338288418
STPT(10)	2581310462620757909	0 2 18 20 30 32 42 44 60 62	-564190149390
SPT(16)	2581311419073287291	0 18 30 32 86 110 122 138 200 216 228 252 306 308 320 338	392262379992
STPT(10)	2581311603867505877	0 2 30 32 42 44 54 56 84 86	577056598578
STPT(10)	2581311734078370791	0 2 36 38 78 80 120 122 156 158	707267463492
SPT(16)	2581311854949197309	0 8 24 38 44 114 120 170 288 338 344 414 420 434 450 458	828138290010
SPT(16)	2581311871209981149	0 14 32 80 102 114 120 140 144 164 170 182 204 252 270 284	844399073850