Prime p₀= 3006224555677282337 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 166 2 166 2 52 2 (?)
a_n: 0 2 54 56 222 224 390 392 444 446
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: 446
Found by: [SG]ATA-Rolf
db: batch=82, k=10, 2 52 2 166 2

SPT(16)	3006224063743956019	0 24 28 34 72 82 84 94 198 208 210 220 258 264 268 292	-491933326318
SPT(16)	3006224086916707627	0 22 42 130 144 196 204 232 234 262 270 322 336 424 444 466	-468760574710
SPT(16)	3006224123078987389	0 28 78 94 112 132 144 172 210 238 250 270 288 304 354 382	-432598294948
SPT(16)	3006224194812373901	0 6 72 120 122 132 146 156 176 186 200 210 212 260 326 332	-360864908436
SPT(16)	3006224243076562993	0 36 46 70 94 130 136 144 160 168 174 210 234 258 268 304	-312600719344
STPT(10)	3006224467247802257	0 2 30 32 72 74 114 116 144 146	-88429480080
STPT(10)	3006225528845652887	0 2 42 44 72 74 102 104 144 146	973168370550
SPT(16)	3006225844015964657	0 6 20 26 36 50 62 80 96 114 126 140 150 156 170 176	1288338682320
SPT(16)	3006226671081402253	0 4 16 18 64 70 84 130 174 220 234 240 286 288 300 304	2115404119916
STPT(10)	3006227028467958467	0 2 30 32 42 44 54 56 84 86	2472790676130
STPT(10)	3006227950919775011	0 2 78 80 108 110 138 140 216 218	3395242492674