Prime p₀= 1028040562400187377 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: Theadalus
db: batch=76, k=10, 2 28 2 10 2

SPT(16)	1028039238154184551	0 10 42 96 102 126 130 142 150 162 166 190 196 250 282 292	-1324246002826
SPT(16)	1028039499083337803	0 24 96 116 144 164 206 230 234 258 300 320 348 368 440 464	-1063316849574
STPT(10)	1028040148653064229	0 2 42 44 90 92 138 140 180 182	-413747123148
TPT(14)	1028040169128820271	0 2 6 8 30 32 48 50 186 188 216 218 378 380	-393271367106
STPT(10)	1028040376330271657	0 2 42 44 132 134 222 224 264 266	-186069915720
SPT(16)	1028040502403141243	0 8 30 38 44 60 78 128 156 206 224 240 246 254 276 284	-59997046134
TPT(14)	1028040602816766191	0 2 6 8 30 32 78 80 156 158 288 290 300 302	40416578814
STPT(10)	1028040753116577647	0 2 42 44 72 74 102 104 144 146	190716390270
SPT(16)	1028041078433088347	0 42 56 80 90 104 134 146 180 192 222 236 246 270 284 326	516032900970
SPT(16)	1028041181820781267	0 34 40 96 102 130 210 256 300 346 426 454 460 516 522 556	619420593890
STPT(10)	1028041364734889159	0 2 48 50 90 92 132 134 180 182	802334701782