Prime p₀= 3086244857896657157 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: [SG-2W]Kurzer
db: batch=83, k=10, 2 28 2 10 2

STPT(10)	3086243572213283981	0 2 36 38 78 80 120 122 156 158	-1285683373176
STPT(10)	3086243719055943581	0 2 36 38 78 80 120 122 156 158	-1138840713576
SPT(16)	3086243791836031951	0 28 48 90 126 132 138 160 168 190 196 202 238 280 300 328	-1066060625206
STPT(10)	3086243863931503697	0 2 42 44 102 104 162 164 204 206	-993965153460
SPT(16)	3086244485526882569	0 30 38 44 60 110 114 138 170 194 198 248 264 270 278 308	-372369774588
SPT(16)	3086244574269520751	0 2 20 68 92 110 132 152 198 218 240 258 282 330 348 350	-283627136406
STPT(10)	3086245620211594637	0 2 30 32 42 44 54 56 84 86	762314937480
SPT(16)	3086245922400731003	0 20 68 110 128 156 194 210 224 240 278 306 324 366 414 434	1064504073846
TPT(14)	3086245942135273859	0 2 12 14 102 104 138 140 258 260 300 302 342 344	1084238616702
TPT(14)	3086246173921764779	0 2 30 32 90 92 228 230 288 290 312 314 342 344	1316025107622
SPT(16)	3086246347925794981	0 28 30 48 70 72 78 162 166 250 256 258 280 298 300 328	1490029137824