Prime p₀= 2004664967015444549 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 60 62
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: 62
Found by: Landjunge
db: batch=80, k=10, 2 10 2 16 2

SPT(16)	2004664185708434969	0 20 32 42 60 104 144 162 200 218 258 302 320 330 342 362	-781307009580
STPT(10)	2004664250716938269	0 2 18 20 30 32 42 44 60 62	-716298506280
SPT(16)	2004664308841192147	0 22 52 66 70 84 94 102 154 162 172 186 190 204 234 256	-658174252402
SPT(16)	2004664415726890571	0 26 38 68 90 98 140 146 210 216 258 266 288 318 330 356	-551288553978
SPT(16)	2004664726533953651	0 30 48 98 110 140 216 222 266 272 348 378 390 440 458 488	-240481490898
SPT(16)	2004664738107364271	0 8 26 32 60 116 162 180 248 266 312 368 396 402 420 428	-228908080278
SPT(22)	2004664973041810151	0 18 42 80 92 120 128 186 206 216 228 230 242 252 272 330 338 366 378 416 440 458	6026365602
SPT(16)	2004665101604070569	0 68 104 132 138 152 170 174 248 252 270 284 290 318 354 422	134588626020
STPT(10)	2004665505313172237	0 2 30 32 42 44 54 56 84 86	538297727688
SPT(16)	2004665543574338003	0 38 50 56 80 90 108 170 336 398 416 426 450 456 468 506	576558893454
STPT(10)	2004665692877166461	0 2 6 8 18 20 30 32 36 38	725861721912