Prime p₀= 724944986979662591 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Dr Who Fan
db: batch=73, k=10, 2 4 2 10 2

SPT(16)	724942120957261303	0 10 46 48 88 126 136 154 210 228 238 276 316 318 354 364	-2866022401288
STPT(10)	724942192520120171	0 2 36 38 78 80 120 122 156 158	-2794459542420
STPT(10)	724942328418027659	0 2 18 20 30 32 42 44 60 62	-2658561634932
STPT(10)	724943844326318117	0 2 54 56 72 74 90 92 144 146	-1142653344474
SPT(16)	724944889640844511	0 22 42 48 60 66 78 112 126 160 172 178 190 196 216 238	-97338818080
STPT(10)	724944977912229131	0 2 36 38 78 80 120 122 156 158	-9067433460
SPT(16)	724945144889508911	0 26 62 98 162 186 210 216 272 278 302 326 390 426 462 488	157909846320
SPT(16)	724945311011605049	0 38 48 92 122 174 188 252 290 354 368 420 450 494 504 542	324031942458
SPT(16)	724945344076445081	0 2 30 170 182 198 212 218 282 288 302 318 330 470 498 500	357096782490
STPT(10)	724945542708705677	0 2 60 62 72 74 84 86 144 146	555729043086
STPT(10)	724945818684152537	0 2 90 92 132 134 174 176 264 266	831704489946