Prime p₀= 2113097766126121277 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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 22 2 16 2

SPT(16)	2113096316925079543	0 10 28 46 94 100 114 180 184 250 264 270 318 336 354 364	-1449201041734
SPT(16)	2113096599355538633	0 74 84 96 104 176 194 200 240 246 264 336 344 356 366 440	-1166770582644
SPT(16)	2113096651830192649	0 4 10 34 78 82 144 154 228 238 300 304 348 372 378 382	-1114295928628
SPT(16)	2113096957946215789	0 28 34 70 130 132 144 202 210 268 280 282 342 378 384 412	-808179905488
SPT(16)	2113097244670874801	0 30 36 80 108 120 126 146 192 212 218 230 258 302 308 338	-521455246476
SPT(16)	2113097724565089481	0 16 36 70 72 130 162 192 196 226 258 316 318 352 372 388	-41561031796
SPT(16)	2113098003215414609	0 18 20 32 38 50 120 132 158 170 240 252 258 270 272 290	237089293332
STPT(10)	2113098031933621697	0 2 30 32 42 44 54 56 84 86	265807500420
SPT(16)	2113098163091076367	0 10 42 64 96 136 196 250 276 330 390 430 462 484 516 526	396964955090
STPT(10)	2113098232037887187	0 2 30 32 60 62 90 92 120 122	465911765910
SPT(16)	2113098405979707493	0 28 46 54 64 76 78 114 130 166 168 180 190 198 216 244	639853586216