Prime p₀= 2829573370602391289 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: JayPi
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2829571922620062379	0 22 42 78 82 102 118 162 250 294 310 330 334 370 390 412	-1447982328910
STPT(10)	2829572064725923799	0 2 18 20 60 62 102 104 120 122	-1305876467490
SPT(16)	2829572297907495719	0 14 24 78 150 164 194 210 218 234 264 278 350 404 414 428	-1072694895570
STPT(10)	2829572424783058607	0 2 42 44 72 74 102 104 144 146	-945819332682
STPT(10)	2829572875190723927	0 2 42 44 72 74 102 104 144 146	-495411667362
SPT(16)	2829572949420344789	0 12 18 44 68 72 114 134 138 158 200 204 228 254 260 272	-421182046500
SPT(16)	2829573620874946789	0 22 72 114 132 172 174 204 208 238 240 280 298 340 390 412	250272555500
SPT(20)	2829574121608655243	0 6 8 20 30 56 78 116 158 168 188 198 240 278 300 326 336 348 350 356	751006263954
TPT(14)	2829574334597798111	0 2 36 38 126 128 186 188 210 212 438 440 450 452	963995406822
SPT(16)	2829574564569528379	0 22 24 48 58 88 102 130 132 160 174 204 214 238 240 262	1193967137090
STPT(10)	2829574856498484761	0 2 6 8 18 20 30 32 36 38	1485896093472