Prime p₀= 2031233002288376399 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: Landjunge
db: batch=80, k=10, 2 40 2 16 2

SPT(16)	2031232418919943037	0 74 84 86 102 116 164 206 240 282 330 344 360 362 372 446	-583368433362
SPT(16)	2031232482478820447	0 12 56 60 72 80 110 126 140 156 186 194 206 210 254 266	-519809555952
STPT(10)	2031232708201957847	0 2 30 32 72 74 114 116 144 146	-294086418552
SPT(16)	2031232761670921447	0 34 84 144 160 202 214 244 270 300 312 354 370 430 480 514	-240617454952
TPT(16)	2031232809806325611	0 2 90 92 210 212 276 278 390 392 420 422 666 668 696 698	-192482050788
SPT(16)	2031232828022983567	0 12 30 52 64 72 154 232 294 372 454 462 474 496 514 526	-174265392832
STPT(10)	2031233159826041957	0 2 30 32 60 62 90 92 120 122	157537665558
SPT(16)	2031233558915392499	0 30 38 54 68 92 152 204 308 360 420 444 458 474 482 512	556627016100
STPT(10)	2031233835204528131	0 2 78 80 168 170 258 260 336 338	832916151732
STPT(10)	2031233896336944161	0 2 36 38 78 80 120 122 156 158	894048567762
SPT(16)	2031233971413656749	0 12 34 42 112 210 232 264 370 402 424 522 592 600 622 634	969125280350