Prime p₀= 2113098031933621697 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: Landjunge
db: batch=80, k=10, 2 28 2 10 2

SPT(16)	2113096651830192649	0 4 10 34 78 82 144 154 228 238 300 304 348 372 378 382	-1380103429048
SPT(16)	2113096957946215789	0 28 34 70 130 132 144 202 210 268 280 282 342 378 384 412	-1073987405908
SPT(16)	2113097244670874801	0 30 36 80 108 120 126 146 192 212 218 230 258 302 308 338	-787262746896
SPT(16)	2113097724565089481	0 16 36 70 72 130 162 192 196 226 258 316 318 352 372 388	-307368532216
STPT(10)	2113097766126121277	0 2 24 26 42 44 60 62 84 86	-265807500420
SPT(16)	2113098003215414609	0 18 20 32 38 50 120 132 158 170 240 252 258 270 272 290	-28718207088
SPT(16)	2113098163091076367	0 10 42 64 96 136 196 250 276 330 390 430 462 484 516 526	131157454670
STPT(10)	2113098232037887187	0 2 30 32 60 62 90 92 120 122	200104265490
SPT(16)	2113098405979707493	0 28 46 54 64 76 78 114 130 166 168 180 190 198 216 244	374046085796
STPT(10)	2113098714455306099	0 2 18 20 30 32 42 44 60 62	682521684402
SPT(16)	2113098931898753611	0 16 18 36 82 96 112 172 246 306 322 336 382 400 402 418	899965131914