Prime p₀= 2868999025903309667 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=82, k=10, 2 28 2 10 2

TPT(14)	2868997667608533887	0 2 54 56 84 86 114 116 402 404 420 422 480 482	-1358294775780
SPT(16)	2868997861385090131	0 12 22 42 48 58 60 120 208 268 270 280 286 306 316 328	-1164518219536
SPT(16)	2868997972670230657	0 6 34 100 106 114 126 180 226 280 292 300 306 372 400 406	-1053233079010
SPT(16)	2868998011976930423	0 20 38 90 98 104 188 198 326 336 420 426 434 486 504 524	-1013926379244
SPT(16)	2868998328469645621	0 36 60 96 130 132 162 196 222 256 286 288 322 358 382 418	-697433664046
SPT(16)	2868998692299631141	0 46 60 82 108 136 150 172 186 208 222 250 276 298 312 358	-333603678526
SPT(16)	2868999648112071809	0 12 14 74 98 102 122 132 200 210 230 234 258 318 320 332	622208762142
SPT(16)	2868999669525111349	0 12 34 154 184 198 220 244 258 282 304 318 348 468 490 502	643621801682
SPT(16)	2869000099842878873	0 18 48 60 110 126 128 156 158 186 188 204 254 266 296 314	1073939569206
SPT(20)	2869000099932054953	0 20 56 74 78 90 98 176 198 210 314 326 348 426 434 446 450 468 504 524	1074028745286
STPT(10)	2869000338665441327	0 2 12 14 42 44 72 74 84 86	1312762131660