Prime p₀= 3034405213452443651 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: JayPi
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	3034403483371824709	0 4 70 82 88 90 144 162 220 238 292 294 300 312 378 382	-1730080618942
STPT(10)	3034403926271048027	0 2 30 32 72 74 114 116 144 146	-1287181395624
STPT(10)	3034404801089796227	0 2 30 32 60 62 90 92 120 122	-412362647424
SPT(16)	3034405035476328197	0 24 50 54 84 90 110 144 182 216 236 242 272 276 302 326	-177976115454
STPT(10)	3034405111714912721	0 2 30 32 78 80 126 128 156 158	-101737530930
STPT(10)	3034405200864326459	0 2 18 20 60 62 102 104 120 122	-12588117192
STPT(10)	3034405350656063777	0 2 30 32 42 44 54 56 84 86	137203620126
SPT(16)	3034405459473581399	0 12 30 38 48 62 78 122 180 224 240 254 264 272 290 302	246021137748
STPT(10)	3034405530988383281	0 2 36 38 78 80 120 122 156 158	317535939630
SPT(16)	3034405768662966149	0 72 74 78 110 128 138 152 270 284 294 312 344 348 350 422	555210522498
STPT(10)	3034406035631360639	0 2 18 20 30 32 42 44 60 62	822178916988