Prime p₀= 3091244717112556967 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: TheKillerChicken
db: batch=83, k=10, 2 28 2 10 2

STPT(10)	3091242727185162239	0 2 18 20 30 32 42 44 60 62	-1989927394728
SPT(16)	3091242987891111589	0 22 28 34 72 138 154 174 238 258 274 340 378 384 390 412	-1729221445378
SPT(16)	3091243229055306601	0 16 58 66 72 90 138 148 210 220 268 286 292 300 342 358	-1488057250366
SPT(16)	3091243609601863943	0 24 68 78 80 110 168 188 210 230 288 318 320 330 374 398	-1107510693024
STPT(10)	3091244057070115151	0 2 6 8 18 20 30 32 36 38	-660042441816
STPT(12)	3091244579759990987	0 2 12 14 90 92 132 134 210 212 222 224	-137352565980
SPT(16)	3091244855880567853	0 36 84 120 124 190 238 294 340 396 444 510 514 550 598 634	138768010886
STPT(10)	3091244927150002121	0 2 36 38 78 80 120 122 156 158	210037445154
TPT(14)	3091245391301770607	0 2 84 86 90 92 114 116 132 134 210 212 342 344	674189213640
SPT(16)	3091245534461841437	0 24 30 36 72 90 92 102 104 114 116 134 170 176 182 206	817349284470
SPT(16)	3091246184800682977	0 70 82 90 120 132 190 204 220 234 292 304 334 342 354 424	1467688126010