Prime p₀= 3004294698206149877 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: [SG-FC] hl
db: batch=82, k=10, 2 40 2 28 2

SPT(16)	3004293346465635461	0 12 32 42 72 80 182 186 206 210 312 320 350 360 380 392	-1351740514416
STPT(10)	3004293481643474789	0 2 18 20 30 32 42 44 60 62	-1216562675088
STPT(10)	3004293556850206739	0 2 18 20 30 32 42 44 60 62	-1141355943138
SPT(16)	3004293649255149533	0 50 66 80 90 104 164 174 200 210 270 284 294 308 324 374	-1048951000344
SPT(16)	3004293876009202109	0 2 68 78 104 128 170 188 204 222 264 288 314 324 390 392	-822196947768
TPT(14)	3004294182740276681	0 2 36 38 78 80 126 128 138 140 210 212 246 248	-515465873196
STPT(10)	3004294730675152667	0 2 30 32 42 44 54 56 84 86	32469002790
SPT(16)	3004294989690316667	0 30 144 156 186 224 296 300 350 354 426 464 494 506 620 650	291484166790
SPT(16)	3004295386677217481	0 18 30 32 60 62 140 186 272 318 396 398 426 428 440 458	688471067604
STPT(10)	3004295701544431961	0 2 6 8 18 20 30 32 36 38	1003338282084
STPT(12)	3004296057207537317	0 2 12 14 24 26 30 32 42 44 54 56	1359001387440