Prime p₀= 3002320313144244929 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: [SG-FC] hl
db: batch=82, k=10, 2 10 2 76 2

STPT(10)	3002318973377962307	0 2 24 26 42 44 60 62 84 86	-1339766282622
SPT(16)	3002319074989197107	0 44 60 62 72 102 132 140 144 152 182 212 222 224 240 284	-1238155047822
STPT(10)	3002319318134591639	0 2 18 20 30 32 42 44 60 62	-995009653290
STPT(12)	3002319555051965639	0 2 12 14 72 74 78 80 138 140 150 152	-758092279290
SPT(16)	3002319725825958779	0 14 30 68 90 128 174 194 198 218 264 302 324 362 378 392	-587318286150
SPT(16)	3002319810706313341	0 10 30 40 46 58 76 126 142 192 210 222 228 238 258 268	-502437931588
SPT(16)	3002320395851699497	0 16 40 70 84 100 112 124 222 234 246 262 276 306 330 346	82707454568
SPT(16)	3002320474939019879	0 14 24 54 108 144 152 168 194 210 218 254 308 338 348 362	161794774950
SPT(16)	3002320994135010287	0 12 42 50 56 104 110 116 120 126 132 180 186 194 224 236	680990765358
SPT(16)	3002321037169414531	0 6 18 36 72 138 142 156 172 186 190 256 292 310 322 328	724025169602
SPT(16)	3002321148526622717	0 14 20 92 120 212 224 230 246 252 264 356 384 456 462 476	835382377788