Prime p₀= 2999083697330410169 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 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: Groo
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2999082448398638383	0 28 46 60 66 138 168 204 280 316 346 418 424 438 456 484	-1248931771786
SPT(16)	2999082493130593627	0 30 70 84 94 106 190 240 316 366 450 462 472 486 526 556	-1204199816542
SPT(16)	2999082656468986363	0 16 24 28 30 48 66 78 106 118 136 154 156 160 168 184	-1040861423806
SPT(16)	2999082818287496921	0 2 32 38 66 78 120 168 200 248 290 302 330 336 366 368	-879042913248
SPT(16)	2999083007690719891	0 12 28 78 90 118 142 156 172 186 210 238 250 300 316 328	-689639690278
SPT(16)	2999083442901559213	0 48 88 90 186 208 228 246 418 436 456 478 574 576 616 664	-254428850956
SPT(16)	2999084076909360001	0 16 52 66 70 100 102 156 172 226 228 258 262 276 312 328	379578949832
SPT(16)	2999084627502865883	0 18 56 80 98 104 128 144 170 186 210 216 234 258 296 314	930172455714
TPT(14)	2999084709303919667	0 2 252 254 324 326 462 464 474 476 510 512 552 554	1011973509498
SPT(16)	2999085517992822649	0 72 160 174 210 244 264 282 310 328 348 382 418 432 520 592	1820662412480
STPT(10)	2999085734839126481	0 2 6 8 48 50 90 92 96 98	2037508716312