Prime p₀= 3034545544783955117 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: [SG]ATA-Rolf
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	3034543624118262119	0 168 180 194 224 248 260 264 278 282 294 318 348 362 374 542	-1920665692998
STPT(10)	3034543865572138859	0 2 42 44 60 62 78 80 120 122	-1679211816258
SPT(16)	3034543984633347299	0 2 24 38 60 72 78 84 158 164 170 182 204 218 240 242	-1560150607818
STPT(10)	3034544301856702049	0 2 18 20 30 32 42 44 60 62	-1242927253068
STPT(10)	3034545148814975951	0 2 36 38 138 140 240 242 276 278	-395968979166
SPT(16)	3034545471474634057	0 12 24 66 84 90 120 124 162 166 196 202 220 262 274 286	-73309321060
SPT(16)	3034546011032018687	0 14 50 80 84 120 122 140 144 162 164 200 204 234 270 284	466248063570
SPT(16)	3034546489857185557	0 22 36 46 52 60 106 112 144 150 196 204 210 220 234 256	945073230440
SPT(16)	3034546865391567457	0 22 46 54 72 96 100 112 114 126 130 154 172 180 204 226	1320607612340
SPT(16)	3034547673691459823	0 6 20 56 84 104 128 144 170 186 210 230 258 294 308 314	2128907504706
TPT(14)	3034547873958870569	0 2 60 62 198 200 240 242 318 320 390 392 408 410	2329174915452