Prime p₀= 2113028436489997727 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: Coleslaw
db: batch=80, k=10, 2 28 2 10 2

SPT(16)	2113026306189516667	0 22 54 60 132 136 190 204 262 276 330 334 406 412 444 466	-2130300481060
STPT(10)	2113026976103676011	0 2 36 38 78 80 120 122 156 158	-1460386321716
STPT(10)	2113027079268377939	0 2 18 20 30 32 42 44 60 62	-1357221619788
STPT(10)	2113027538413528349	0 2 18 20 30 32 42 44 60 62	-898076469378
SPT(16)	2113027697222777849	0 30 48 108 122 128 138 150 152 164 174 180 194 254 272 302	-739267219878
SPT(16)	2113027857674582869	0 4 30 42 52 160 168 264 298 394 402 510 520 532 558 562	-578815414858
TPT(14)	2113028641852166627	0 2 30 32 54 56 84 86 180 182 252 254 264 266	205362168900
SPT(16)	2113028654116422761	0 6 26 56 80 98 110 168 200 258 270 288 312 342 362 368	217626425034
STPT(10)	2113029129196909829	0 2 12 14 90 92 168 170 180 182	692706912102
SPT(16)	2113029249397835929	0 40 42 54 70 72 94 112 180 198 220 222 238 250 252 292	812907838202
SPT(16)	2113029448550668301	0 8 56 78 90 108 132 272 276 416 440 458 470 492 540 548	1012060670574