Prime p₀= 3006077208224621351 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: [SG]ATA-Rolf
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	3006075590682700553	0 26 68 78 80 90 150 164 180 194 254 264 266 276 318 344	-1617541920798
SPT(16)	3006076001962896761	0 2 12 42 78 86 138 176 252 290 342 350 386 416 426 428	-1206261724590
STPT(10)	3006076167766751477	0 2 30 32 72 74 114 116 144 146	-1040457869874
SPT(16)	3006076296276121477	0 66 76 84 100 132 160 166 210 216 244 276 292 300 310 376	-911948499874
STPT(10)	3006076771624560971	0 2 36 38 138 140 240 242 276 278	-436600060380
STPT(10)	3006077128675704869	0 2 42 44 60 62 78 80 120 122	-79548916482
STPT(12)	3006077409745083719	0 2 12 14 42 44 48 50 78 80 90 92	201520462368
SPT(16)	3006077440783640473	0 4 78 84 138 148 150 178 180 208 210 220 274 280 354 358	232559019122
STPT(10)	3006077462588933099	0 2 48 50 90 92 132 134 180 182	254364311748
STPT(10)	3006077649319041767	0 2 30 32 42 44 54 56 84 86	441094420416
SPT(16)	3006077832453083593	0 6 58 60 88 150 174 256 258 340 364 426 454 456 508 514	624228462242